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Finding the Fourth Proportional to 363.92, 546.68 and 219.74

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Solution

The fourth proportional to 363.92, 546.68 and 219.74 is: 330.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.92 : 546.68 = 219.74 : x
  2. Step 2: Convert to fraction form
    363.92/546.68 = 219.74/x
  3. Step 3: Cross multiply
    363.92x = 546.68 × 219.74
  4. Step 4: Simplify right side
    363.92x = 120,125.28
  5. Step 5: Solve for x
    x = 120,125.28/363.92
  6. Step 6: Final answer
    x = 330.09

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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.