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Finding the Fourth Proportional to 517.92, 772.36 and 489.16

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Solution

The fourth proportional to 517.92, 772.36 and 489.16 is: 729.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.92 : 772.36 = 489.16 : x
  2. Step 2: Convert to fraction form
    517.92/772.36 = 489.16/x
  3. Step 3: Cross multiply
    517.92x = 772.36 × 489.16
  4. Step 4: Simplify right side
    517.92x = 377,807.62
  5. Step 5: Solve for x
    x = 377,807.62/517.92
  6. Step 6: Final answer
    x = 729.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.