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Finding the Fourth Proportional to 461.24, 691.89 and 229.89

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Solution

The fourth proportional to 461.24, 691.89 and 229.89 is: 344.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.24 : 691.89 = 229.89 : x
  2. Step 2: Convert to fraction form
    461.24/691.89 = 229.89/x
  3. Step 3: Cross multiply
    461.24x = 691.89 × 229.89
  4. Step 4: Simplify right side
    461.24x = 159,058.59
  5. Step 5: Solve for x
    x = 159,058.59/461.24
  6. Step 6: Final answer
    x = 344.85

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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.