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Finding the Fourth Proportional to 461.30, 691.76 and 187.32

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Solution

The fourth proportional to 461.30, 691.76 and 187.32 is: 280.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.30 : 691.76 = 187.32 : x
  2. Step 2: Convert to fraction form
    461.30/691.76 = 187.32/x
  3. Step 3: Cross multiply
    461.30x = 691.76 × 187.32
  4. Step 4: Simplify right side
    461.30x = 129,580.95
  5. Step 5: Solve for x
    x = 129,580.95/461.30
  6. Step 6: Final answer
    x = 280.90

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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.