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Finding the Fourth Proportional to 534.32, 736.71 and 445.92

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Solution

The fourth proportional to 534.32, 736.71 and 445.92 is: 614.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.32 : 736.71 = 445.92 : x
  2. Step 2: Convert to fraction form
    534.32/736.71 = 445.92/x
  3. Step 3: Cross multiply
    534.32x = 736.71 × 445.92
  4. Step 4: Simplify right side
    534.32x = 328,513.72
  5. Step 5: Solve for x
    x = 328,513.72/534.32
  6. Step 6: Final answer
    x = 614.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.