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Finding the Fourth Proportional to 711.28, 1,067.16 and 321.58

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Solution

The fourth proportional to 711.28, 1,067.16 and 321.58 is: 482.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.28 : 1,067.16 = 321.58 : x
  2. Step 2: Convert to fraction form
    711.28/1,067.16 = 321.58/x
  3. Step 3: Cross multiply
    711.28x = 1,067.16 × 321.58
  4. Step 4: Simplify right side
    711.28x = 343,177.31
  5. Step 5: Solve for x
    x = 343,177.31/711.28
  6. Step 6: Final answer
    x = 482.48

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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.