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Finding the Fourth Proportional to 461.06, 691.58 and 217.44

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Solution

The fourth proportional to 461.06, 691.58 and 217.44 is: 326.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.06 : 691.58 = 217.44 : x
  2. Step 2: Convert to fraction form
    461.06/691.58 = 217.44/x
  3. Step 3: Cross multiply
    461.06x = 691.58 × 217.44
  4. Step 4: Simplify right side
    461.06x = 150,377.16
  5. Step 5: Solve for x
    x = 150,377.16/461.06
  6. Step 6: Final answer
    x = 326.16

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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.