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Finding the Fourth Proportional to 529.91, 731.25 and 355.13

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Solution

The fourth proportional to 529.91, 731.25 and 355.13 is: 490.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.91 : 731.25 = 355.13 : x
  2. Step 2: Convert to fraction form
    529.91/731.25 = 355.13/x
  3. Step 3: Cross multiply
    529.91x = 731.25 × 355.13
  4. Step 4: Simplify right side
    529.91x = 259,685.16
  5. Step 5: Solve for x
    x = 259,685.16/529.91
  6. Step 6: Final answer
    x = 490.06

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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.