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Finding the Fourth Proportional to 602.97, 832.10 and 406.14

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Solution

The fourth proportional to 602.97, 832.10 and 406.14 is: 560.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.97 : 832.10 = 406.14 : x
  2. Step 2: Convert to fraction form
    602.97/832.10 = 406.14/x
  3. Step 3: Cross multiply
    602.97x = 832.10 × 406.14
  4. Step 4: Simplify right side
    602.97x = 337,949.09
  5. Step 5: Solve for x
    x = 337,949.09/602.97
  6. Step 6: Final answer
    x = 560.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.