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Finding the Fourth Proportional to 422.96, 584.01 and 385.61

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Solution

The fourth proportional to 422.96, 584.01 and 385.61 is: 532.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.96 : 584.01 = 385.61 : x
  2. Step 2: Convert to fraction form
    422.96/584.01 = 385.61/x
  3. Step 3: Cross multiply
    422.96x = 584.01 × 385.61
  4. Step 4: Simplify right side
    422.96x = 225,197.18
  5. Step 5: Solve for x
    x = 225,197.18/422.96
  6. Step 6: Final answer
    x = 532.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.