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Finding the Fourth Proportional to 363.67, 546.31 and 219.49

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Solution

The fourth proportional to 363.67, 546.31 and 219.49 is: 329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.67 : 546.31 = 219.49 : x
  2. Step 2: Convert to fraction form
    363.67/546.31 = 219.49/x
  3. Step 3: Cross multiply
    363.67x = 546.31 × 219.49
  4. Step 4: Simplify right side
    363.67x = 119,909.58
  5. Step 5: Solve for x
    x = 119,909.58/363.67
  6. Step 6: Final answer
    x = 329.72

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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.