A couple things I have found important...
<135: Start with a gym membership.
135-225: Start using the gym - consistency is the biggest factor in this group. Work on developing a stronger mind-muscle connection.
225-315: Diet, rest and progressive training programs become even more critical. And you must actually bench, as in the free weight bench press.

Read the
Guidelines for Growth article.
315-405: Everything in - all your ergogenics: nutrition, supplements, straps, wraps, gear, whatever. Also work on stronger Triceps power with Close Grip Bench pressing.
>405: Aside from the above... it gets real physcological at this point. You can began a really good set - and then the next one sucks ass! You have to do whatever it takes to dial in your motivation at this point. Ignore destructive influences and people making comments like, "wow, thats a lot of weight!" If you are the biggest in your gym - it may be time to find something more hardcore... lifting around a bunch of people pushing 225 is less motivating then lifting with a lot of people pushing over 405. Start developing your prelift rituals - everyone at this point has some... a tap of the bar, shaking your head, having a partner slap you - yelling out an ol' bosses name...
I have also found that in your search for increased limit strength - don't neglect getting stronger in the 10-12 rep range (being able to put up 3 or 4 plates 12 times will pay off)... don't get stuck doing quick singles and doubles all the time.