All of this advice is predicated on one thing, that the shooter knows how to shoot his rifle, that is get the most out of whatever ammo he happens to be working with. My experience is that it is very common for shooters to have basic faults in their techniques and setups. This is not because they are not bright folks, but because they have little opportunity to receive one on one, at the range coaching.  
For example, some time back, I ran across a father and son who were both shooting Savage .308s. It was sighting in season, before deer season at a range where I was one of the volunteer RSOs. Knowing that one has to be careful about how one offers help, given that some take it as an insult, I sized the father up, and decided that it might be worth the risk. He said that he would like some, and based on what I had observed before speaking to him, I made two suggestions that literally cut his groups in half. The first was to gradually apply pressure to the trigger until the rifle fired, rather than making it go off at a particular instant, to let the rifle "surprise"him, adding that this was a bench technique, and that other situations call for a different approach.
The second thing was follow through. I find it common for shooters to have developed bad habits in this area. The best advice that I can give is to watch the cross hairs move off of the target as the rifle recoils, before making any move. The best way to self coach on this is to set up your digital camera to take a side view video of you, while you are shooting, and then review the video carefully. One fellow that I am helping, that lives a long distance from me, sent me an email with just such a video, and I was able to be a lot more help to him because of what I learned by watching it.