The tent was protected by enchantments making it invisible to anyone outside a certain range, right? But when Harry followed the Silver Doe Patronus deep into the forest he probably left the range of the protective enchantments and hence should not have been able to see the tent when he arrived back with Ron, isn't it? However, they simply walked their way back to it somehow.
At first I thought that Harry must have remembered some landmark, like a tree or something, and simply walked back in its general vicinity until he eventually walks into the protective charm and sees the tent. However, only just a few months ago when Ron left, he knew where the tent was (besides the salmon river), but when he wanted to come back immediately he couldn't see tent anymore.
How do those protective enchantments work anyway? Maybe say there is a 50-meter dome of invisibility around the tent, nobody can see the tent outside that, what happens then if someone simply happens to walk into that radius, will they suddenly be able to see it? I thought of the Quidditch World Cup and how they said some muggles would happen to walk in and they'd have to alter their memories.