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Finding the Fourth Proportional to 711.54, 1,067.34 and 224.64

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Solution

The fourth proportional to 711.54, 1,067.34 and 224.64 is: 336.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.54 : 1,067.34 = 224.64 : x
  2. Step 2: Convert to fraction form
    711.54/1,067.34 = 224.64/x
  3. Step 3: Cross multiply
    711.54x = 1,067.34 × 224.64
  4. Step 4: Simplify right side
    711.54x = 239,767.26
  5. Step 5: Solve for x
    x = 239,767.26/711.54
  6. Step 6: Final answer
    x = 336.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.