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Finding the Fourth Proportional to 691.44, 954.24 and 392.76

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Solution

The fourth proportional to 691.44, 954.24 and 392.76 is: 542.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.44 : 954.24 = 392.76 : x
  2. Step 2: Convert to fraction form
    691.44/954.24 = 392.76/x
  3. Step 3: Cross multiply
    691.44x = 954.24 × 392.76
  4. Step 4: Simplify right side
    691.44x = 374,787.30
  5. Step 5: Solve for x
    x = 374,787.30/691.44
  6. Step 6: Final answer
    x = 542.04

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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.