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Finding the Fourth Proportional to 461.05, 691.83 and 217.57

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Solution

The fourth proportional to 461.05, 691.83 and 217.57 is: 326.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.05 : 691.83 = 217.57 : x
  2. Step 2: Convert to fraction form
    461.05/691.83 = 217.57/x
  3. Step 3: Cross multiply
    461.05x = 691.83 × 217.57
  4. Step 4: Simplify right side
    461.05x = 150,520.37
  5. Step 5: Solve for x
    x = 150,520.37/461.05
  6. Step 6: Final answer
    x = 326.48

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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.