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Finding the Fourth Proportional to 297.60, 411.12 and 232.92

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Solution

The fourth proportional to 297.60, 411.12 and 232.92 is: 321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.60 : 411.12 = 232.92 : x
  2. Step 2: Convert to fraction form
    297.60/411.12 = 232.92/x
  3. Step 3: Cross multiply
    297.60x = 411.12 × 232.92
  4. Step 4: Simplify right side
    297.60x = 95,758.07
  5. Step 5: Solve for x
    x = 95,758.07/297.60
  6. Step 6: Final answer
    x = 321.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.