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Finding the Fourth Proportional to 566.34, 781.70 and 531.92

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Solution

The fourth proportional to 566.34, 781.70 and 531.92 is: 734.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.34 : 781.70 = 531.92 : x
  2. Step 2: Convert to fraction form
    566.34/781.70 = 531.92/x
  3. Step 3: Cross multiply
    566.34x = 781.70 × 531.92
  4. Step 4: Simplify right side
    566.34x = 415,801.86
  5. Step 5: Solve for x
    x = 415,801.86/566.34
  6. Step 6: Final answer
    x = 734.19

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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.