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Finding the Fourth Proportional to 322.97, 484.92 and 200.88

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Solution

The fourth proportional to 322.97, 484.92 and 200.88 is: 301.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.97 : 484.92 = 200.88 : x
  2. Step 2: Convert to fraction form
    322.97/484.92 = 200.88/x
  3. Step 3: Cross multiply
    322.97x = 484.92 × 200.88
  4. Step 4: Simplify right side
    322.97x = 97,410.73
  5. Step 5: Solve for x
    x = 97,410.73/322.97
  6. Step 6: Final answer
    x = 301.61

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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.