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Finding the Fourth Proportional to 531.30, 731.52 and 497.10

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Solution

The fourth proportional to 531.30, 731.52 and 497.10 is: 684.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.30 : 731.52 = 497.10 : x
  2. Step 2: Convert to fraction form
    531.30/731.52 = 497.10/x
  3. Step 3: Cross multiply
    531.30x = 731.52 × 497.10
  4. Step 4: Simplify right side
    531.30x = 363,638.59
  5. Step 5: Solve for x
    x = 363,638.59/531.30
  6. Step 6: Final answer
    x = 684.43

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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.