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Finding the Fourth Proportional to 927.62, 1,391.38 and 234.28

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Solution

The fourth proportional to 927.62, 1,391.38 and 234.28 is: 351.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.62 : 1,391.38 = 234.28 : x
  2. Step 2: Convert to fraction form
    927.62/1,391.38 = 234.28/x
  3. Step 3: Cross multiply
    927.62x = 1,391.38 × 234.28
  4. Step 4: Simplify right side
    927.62x = 325,972.51
  5. Step 5: Solve for x
    x = 325,972.51/927.62
  6. Step 6: Final answer
    x = 351.41

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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.