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Finding the Fourth Proportional to 529.26, 731.01 and 431.40

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Solution

The fourth proportional to 529.26, 731.01 and 431.40 is: 595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.26 : 731.01 = 431.40 : x
  2. Step 2: Convert to fraction form
    529.26/731.01 = 431.40/x
  3. Step 3: Cross multiply
    529.26x = 731.01 × 431.40
  4. Step 4: Simplify right side
    529.26x = 315,357.71
  5. Step 5: Solve for x
    x = 315,357.71/529.26
  6. Step 6: Final answer
    x = 595.85

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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.