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Finding the Fourth Proportional to 717.81, 1,077.32 and 285.27

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Solution

The fourth proportional to 717.81, 1,077.32 and 285.27 is: 428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.81 : 1,077.32 = 285.27 : x
  2. Step 2: Convert to fraction form
    717.81/1,077.32 = 285.27/x
  3. Step 3: Cross multiply
    717.81x = 1,077.32 × 285.27
  4. Step 4: Simplify right side
    717.81x = 307,327.08
  5. Step 5: Solve for x
    x = 307,327.08/717.81
  6. Step 6: Final answer
    x = 428.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.