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Finding the Fourth Proportional to 534.76, 736.34 and 455.92

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Solution

The fourth proportional to 534.76, 736.34 and 455.92 is: 627.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.76 : 736.34 = 455.92 : x
  2. Step 2: Convert to fraction form
    534.76/736.34 = 455.92/x
  3. Step 3: Cross multiply
    534.76x = 736.34 × 455.92
  4. Step 4: Simplify right side
    534.76x = 335,712.13
  5. Step 5: Solve for x
    x = 335,712.13/534.76
  6. Step 6: Final answer
    x = 627.78

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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.