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Select the option that is related to the fourth number in the same way as the first number is related to the second number and
the fifth number is related to the sixth number.
17 : 293 :: ? : 488 :: 21 : 445
22
20
28
24
- The relationship between 17 and 293:
- The number 17 is increased by multiplying it by 17 (getting 289) and then adding 4 (getting 293).
- We need a number related to 488 in a similar way:
- Find a number, let's say x, such that when multiplied by 17 and then 4 is added, the result is 488.
- Solve for x: 17*x + 4 = 488.
- 17*x = 484.
- x = 484 / 17 = 28.
- The relationship between 21 and 445:
- The number 21 is increased by multiplying it by 21 (getting 441) and then adding 4 (getting 445).
- Verification of choices:
- Option 3, 28 satisfies the pattern for 488.
- Therefore, the correct answer is:
- 28
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