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Finding the Fourth Proportional to 489.52, 734.76 and 487.24

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Solution

The fourth proportional to 489.52, 734.76 and 487.24 is: 731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.52 : 734.76 = 487.24 : x
  2. Step 2: Convert to fraction form
    489.52/734.76 = 487.24/x
  3. Step 3: Cross multiply
    489.52x = 734.76 × 487.24
  4. Step 4: Simplify right side
    489.52x = 358,004.46
  5. Step 5: Solve for x
    x = 358,004.46/489.52
  6. Step 6: Final answer
    x = 731.34

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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.