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Finding the Fourth Proportional to 711.88, 1,067.10 and 327.40

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Solution

The fourth proportional to 711.88, 1,067.10 and 327.40 is: 490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.88 : 1,067.10 = 327.40 : x
  2. Step 2: Convert to fraction form
    711.88/1,067.10 = 327.40/x
  3. Step 3: Cross multiply
    711.88x = 1,067.10 × 327.40
  4. Step 4: Simplify right side
    711.88x = 349,368.54
  5. Step 5: Solve for x
    x = 349,368.54/711.88
  6. Step 6: Final answer
    x = 490.77

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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.