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Finding the Fourth Proportional to 711.94, 1,067.88 and 218.33

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Solution

The fourth proportional to 711.94, 1,067.88 and 218.33 is: 327.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.94 : 1,067.88 = 218.33 : x
  2. Step 2: Convert to fraction form
    711.94/1,067.88 = 218.33/x
  3. Step 3: Cross multiply
    711.94x = 1,067.88 × 218.33
  4. Step 4: Simplify right side
    711.94x = 233,144.90
  5. Step 5: Solve for x
    x = 233,144.90/711.94
  6. Step 6: Final answer
    x = 327.48

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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.