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Finding the Fourth Proportional to 486.32, 724.85 and 458.98

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Solution

The fourth proportional to 486.32, 724.85 and 458.98 is: 684.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.32 : 724.85 = 458.98 : x
  2. Step 2: Convert to fraction form
    486.32/724.85 = 458.98/x
  3. Step 3: Cross multiply
    486.32x = 724.85 × 458.98
  4. Step 4: Simplify right side
    486.32x = 332,691.65
  5. Step 5: Solve for x
    x = 332,691.65/486.32
  6. Step 6: Final answer
    x = 684.10

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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.