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Finding the Fourth Proportional to 927.92, 1,391.75 and 234.55

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Solution

The fourth proportional to 927.92, 1,391.75 and 234.55 is: 351.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.92 : 1,391.75 = 234.55 : x
  2. Step 2: Convert to fraction form
    927.92/1,391.75 = 234.55/x
  3. Step 3: Cross multiply
    927.92x = 1,391.75 × 234.55
  4. Step 4: Simplify right side
    927.92x = 326,432.51
  5. Step 5: Solve for x
    x = 326,432.51/927.92
  6. Step 6: Final answer
    x = 351.79

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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.