Identify the next term in the given number series:
$$225,289,361,?$$

Let's analyze the given numbers:
* $225=15^2$
* $289=17^2$
* $361=19^2$

The numbers are squares of consecutive odd prime or odd numbers. Let's check the difference between the bases:

$$17-15=2$$

$$19-17=2$$

The next base in the sequence will be:

$$19+2=21$$

The next term will be the square of $21$:

$$21^2=441$$