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Finding the Fourth Proportional to 487.60, 732.24 and 432.88

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Solution

The fourth proportional to 487.60, 732.24 and 432.88 is: 650.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.60 : 732.24 = 432.88 : x
  2. Step 2: Convert to fraction form
    487.60/732.24 = 432.88/x
  3. Step 3: Cross multiply
    487.60x = 732.24 × 432.88
  4. Step 4: Simplify right side
    487.60x = 316,972.05
  5. Step 5: Solve for x
    x = 316,972.05/487.60
  6. Step 6: Final answer
    x = 650.07

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Why These Related Problems?

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