19 is related to 287 following a certain logic. Following the same logic, 23 is related to 347. To which of the following is 28 related, following the same logic?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

The correct option is 422.

To find the relation, let us analyze the mathematical pattern between the numbers in the given pairs.

Step 1: Analyze the first relationship (19 is related to 287)
Let us test the logic of multiplying the first number by 15 and then adding 2:
$$(19\times 15)+2=285+2=287$$
This calculation matches the given relation.

Step 2: Verify the logic with the second relationship (23 is related to 347)
Applying the exact same rule to 23:
$$(23\times 15)+2=345+2=347$$
Since the logic holds true for both pairs, the pattern is confirmed to be:
$$\text{First Number}\times 15+2=\text{Second Number}$$

Step 3: Apply the verified logic to 28
Using the same rule for the number 28:
$$(28\times 15)+2=420+2=422$$
Therefore, 28 is related to 422 under the same logic.