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Finding the Fourth Proportional to 461.91, 691.64 and 338.43

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Solution

The fourth proportional to 461.91, 691.64 and 338.43 is: 506.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.91 : 691.64 = 338.43 : x
  2. Step 2: Convert to fraction form
    461.91/691.64 = 338.43/x
  3. Step 3: Cross multiply
    461.91x = 691.64 × 338.43
  4. Step 4: Simplify right side
    461.91x = 234,071.73
  5. Step 5: Solve for x
    x = 234,071.73/461.91
  6. Step 6: Final answer
    x = 506.75

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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.