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Finding the Fourth Proportional to 354.42, 532.85 and 232.92

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Solution

The fourth proportional to 354.42, 532.85 and 232.92 is: 350.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.42 : 532.85 = 232.92 : x
  2. Step 2: Convert to fraction form
    354.42/532.85 = 232.92/x
  3. Step 3: Cross multiply
    354.42x = 532.85 × 232.92
  4. Step 4: Simplify right side
    354.42x = 124,110.26
  5. Step 5: Solve for x
    x = 124,110.26/354.42
  6. Step 6: Final answer
    x = 350.18

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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.