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Finding the Fourth Proportional to 685.16, 944.16 and 527.48

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Solution

The fourth proportional to 685.16, 944.16 and 527.48 is: 726.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.16 : 944.16 = 527.48 : x
  2. Step 2: Convert to fraction form
    685.16/944.16 = 527.48/x
  3. Step 3: Cross multiply
    685.16x = 944.16 × 527.48
  4. Step 4: Simplify right side
    685.16x = 498,025.52
  5. Step 5: Solve for x
    x = 498,025.52/685.16
  6. Step 6: Final answer
    x = 726.87

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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.