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Finding the Fourth Proportional to 463.60, 691.86 and 408.88

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Solution

The fourth proportional to 463.60, 691.86 and 408.88 is: 610.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.60 : 691.86 = 408.88 : x
  2. Step 2: Convert to fraction form
    463.60/691.86 = 408.88/x
  3. Step 3: Cross multiply
    463.60x = 691.86 × 408.88
  4. Step 4: Simplify right side
    463.60x = 282,887.72
  5. Step 5: Solve for x
    x = 282,887.72/463.60
  6. Step 6: Final answer
    x = 610.20

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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.