I screw up on the rules all the time...one reason 4e can be a head ache and cool at the same time:
The topic of if a mage uses Hypno to force and enemy into an AOE zone and if that effect happens came up tonight. (nobody did it of course)
The effect does happen. Reason being because the requirement is that the enemy "enters" the AOE zone. Not moves. This is important to understanding "Forced Movement". Forced movement is not a movement action...but the character being move still moves. This is why forced movement does not provoke an opportunity of Attack (PH 285). But the character is still entering the zone and there fore the rule applies. In fact this is rather advantageous for the control with hypno because hypno slides 3 squares.
Meaning IT IS feasible to move the enemy into the zone 1, out of the zone 2 and into the zone 3. Meaning if it damages the enemy it damages them twice. This is a common debate and is commonly house ruled to work on once a turn.
Here is a discussion thread backing up this ruling:
Also there is no saving throw for the fire spots because they are not hindering terrain. The saving throw only applies to falling or something like a lava pit.