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Finding the Fourth Proportional to 461.44, 691.84 and 217.84

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Solution

The fourth proportional to 461.44, 691.84 and 217.84 is: 326.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.44 : 691.84 = 217.84 : x
  2. Step 2: Convert to fraction form
    461.44/691.84 = 217.84/x
  3. Step 3: Cross multiply
    461.44x = 691.84 × 217.84
  4. Step 4: Simplify right side
    461.44x = 150,710.43
  5. Step 5: Solve for x
    x = 150,710.43/461.44
  6. Step 6: Final answer
    x = 326.61

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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.