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Finding the Fourth Proportional to 711.33, 1,067.12 and 224.38

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Solution

The fourth proportional to 711.33, 1,067.12 and 224.38 is: 336.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.33 : 1,067.12 = 224.38 : x
  2. Step 2: Convert to fraction form
    711.33/1,067.12 = 224.38/x
  3. Step 3: Cross multiply
    711.33x = 1,067.12 × 224.38
  4. Step 4: Simplify right side
    711.33x = 239,440.39
  5. Step 5: Solve for x
    x = 239,440.39/711.33
  6. Step 6: Final answer
    x = 336.61

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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.