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Finding the Fourth Proportional to 322.38, 483.98 and 219.92

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Solution

The fourth proportional to 322.38, 483.98 and 219.92 is: 330.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.38 : 483.98 = 219.92 : x
  2. Step 2: Convert to fraction form
    322.38/483.98 = 219.92/x
  3. Step 3: Cross multiply
    322.38x = 483.98 × 219.92
  4. Step 4: Simplify right side
    322.38x = 106,433.36
  5. Step 5: Solve for x
    x = 106,433.36/322.38
  6. Step 6: Final answer
    x = 330.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.