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Finding the Fourth Proportional to 711.55, 1,067.31 and 224.64

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Solution

The fourth proportional to 711.55, 1,067.31 and 224.64 is: 336.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.55 : 1,067.31 = 224.64 : x
  2. Step 2: Convert to fraction form
    711.55/1,067.31 = 224.64/x
  3. Step 3: Cross multiply
    711.55x = 1,067.31 × 224.64
  4. Step 4: Simplify right side
    711.55x = 239,760.52
  5. Step 5: Solve for x
    x = 239,760.52/711.55
  6. Step 6: Final answer
    x = 336.96

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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.