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Finding the Fourth Proportional to 461.58, 691.30 and 229.75

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Solution

The fourth proportional to 461.58, 691.30 and 229.75 is: 344.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.58 : 691.30 = 229.75 : x
  2. Step 2: Convert to fraction form
    461.58/691.30 = 229.75/x
  3. Step 3: Cross multiply
    461.58x = 691.30 × 229.75
  4. Step 4: Simplify right side
    461.58x = 158,824.73
  5. Step 5: Solve for x
    x = 158,824.73/461.58
  6. Step 6: Final answer
    x = 344.09

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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.