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Finding the Fourth Proportional to 534.28, 736.50 and 417.64

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Solution

The fourth proportional to 534.28, 736.50 and 417.64 is: 575.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.28 : 736.50 = 417.64 : x
  2. Step 2: Convert to fraction form
    534.28/736.50 = 417.64/x
  3. Step 3: Cross multiply
    534.28x = 736.50 × 417.64
  4. Step 4: Simplify right side
    534.28x = 307,591.86
  5. Step 5: Solve for x
    x = 307,591.86/534.28
  6. Step 6: Final answer
    x = 575.71

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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.