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Finding the Fourth Proportional to 461.31, 691.35 and 256.17

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Solution

The fourth proportional to 461.31, 691.35 and 256.17 is: 383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.31 : 691.35 = 256.17 : x
  2. Step 2: Convert to fraction form
    461.31/691.35 = 256.17/x
  3. Step 3: Cross multiply
    461.31x = 691.35 × 256.17
  4. Step 4: Simplify right side
    461.31x = 177,103.13
  5. Step 5: Solve for x
    x = 177,103.13/461.31
  6. Step 6: Final answer
    x = 383.91

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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.