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Finding the Fourth Proportional to 354.38, 532.18 and 218.23

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Solution

The fourth proportional to 354.38, 532.18 and 218.23 is: 327.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.38 : 532.18 = 218.23 : x
  2. Step 2: Convert to fraction form
    354.38/532.18 = 218.23/x
  3. Step 3: Cross multiply
    354.38x = 532.18 × 218.23
  4. Step 4: Simplify right side
    354.38x = 116,137.64
  5. Step 5: Solve for x
    x = 116,137.64/354.38
  6. Step 6: Final answer
    x = 327.72

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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.