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Finding the Fourth Proportional to 691.52, 954.28 and 376.78

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Solution

The fourth proportional to 691.52, 954.28 and 376.78 is: 519.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.52 : 954.28 = 376.78 : x
  2. Step 2: Convert to fraction form
    691.52/954.28 = 376.78/x
  3. Step 3: Cross multiply
    691.52x = 954.28 × 376.78
  4. Step 4: Simplify right side
    691.52x = 359,553.62
  5. Step 5: Solve for x
    x = 359,553.62/691.52
  6. Step 6: Final answer
    x = 519.95

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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.