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Finding the Fourth Proportional to 461.08, 691.15 and 229.61

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Solution

The fourth proportional to 461.08, 691.15 and 229.61 is: 344.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.08 : 691.15 = 229.61 : x
  2. Step 2: Convert to fraction form
    461.08/691.15 = 229.61/x
  3. Step 3: Cross multiply
    461.08x = 691.15 × 229.61
  4. Step 4: Simplify right side
    461.08x = 158,694.95
  5. Step 5: Solve for x
    x = 158,694.95/461.08
  6. Step 6: Final answer
    x = 344.18

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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.