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Finding the Fourth Proportional to 323.54, 487.21 and 232.87

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Solution

The fourth proportional to 323.54, 487.21 and 232.87 is: 350.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.54 : 487.21 = 232.87 : x
  2. Step 2: Convert to fraction form
    323.54/487.21 = 232.87/x
  3. Step 3: Cross multiply
    323.54x = 487.21 × 232.87
  4. Step 4: Simplify right side
    323.54x = 113,454.79
  5. Step 5: Solve for x
    x = 113,454.79/323.54
  6. Step 6: Final answer
    x = 350.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.