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Finding the Fourth Proportional to 531.20, 732.93 and 461.13

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Solution

The fourth proportional to 531.20, 732.93 and 461.13 is: 636.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.20 : 732.93 = 461.13 : x
  2. Step 2: Convert to fraction form
    531.20/732.93 = 461.13/x
  3. Step 3: Cross multiply
    531.20x = 732.93 × 461.13
  4. Step 4: Simplify right side
    531.20x = 337,976.01
  5. Step 5: Solve for x
    x = 337,976.01/531.20
  6. Step 6: Final answer
    x = 636.26

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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.