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Finding the Fourth Proportional to 534.47, 734.57 and 471.92

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Solution

The fourth proportional to 534.47, 734.57 and 471.92 is: 648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.47 : 734.57 = 471.92 : x
  2. Step 2: Convert to fraction form
    534.47/734.57 = 471.92/x
  3. Step 3: Cross multiply
    534.47x = 734.57 × 471.92
  4. Step 4: Simplify right side
    534.47x = 346,655.78
  5. Step 5: Solve for x
    x = 346,655.78/534.47
  6. Step 6: Final answer
    x = 648.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.