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Finding the Fourth Proportional to 461.71, 691.99 and 230.66

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Solution

The fourth proportional to 461.71, 691.99 and 230.66 is: 345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.71 : 691.99 = 230.66 : x
  2. Step 2: Convert to fraction form
    461.71/691.99 = 230.66/x
  3. Step 3: Cross multiply
    461.71x = 691.99 × 230.66
  4. Step 4: Simplify right side
    461.71x = 159,616.00
  5. Step 5: Solve for x
    x = 159,616.00/461.71
  6. Step 6: Final answer
    x = 345.71

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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.