If you give him more meat that is good, but try not to do too much of it, we unfortunatley do and I try to change this. Fat is important for children! I know with all theses diet fabs and low fat this and low fat that etc., but for children this is not good!They need it in their system to help their development with their bone structure, skin, muscles etc. I am talking here naturally about the natural fats, not the fabricated ones like in Oreos or marshmallows etc.
The best to give is full fat milk, full fat joghurts, butter (unsalted), full fat cheeses etc. Olive oil, sunflower seeds and other nuts.
As a regular guide I never give my son low fat stuff, it is always full fat (which is actually harder to do than it seems these days), it is not that easy to find full fat plain joghurt or cottage cheese.
Hope this gives you some ideas.