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Finding the Fourth Proportional to 394.18, 591.28 and 220.82

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Solution

The fourth proportional to 394.18, 591.28 and 220.82 is: 331.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.18 : 591.28 = 220.82 : x
  2. Step 2: Convert to fraction form
    394.18/591.28 = 220.82/x
  3. Step 3: Cross multiply
    394.18x = 591.28 × 220.82
  4. Step 4: Simplify right side
    394.18x = 130,562.94
  5. Step 5: Solve for x
    x = 130,562.94/394.18
  6. Step 6: Final answer
    x = 331.23

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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.