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Finding the Fourth Proportional to 712.32, 1,067.52 and 326.88

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Solution

The fourth proportional to 712.32, 1,067.52 and 326.88 is: 489.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.32 : 1,067.52 = 326.88 : x
  2. Step 2: Convert to fraction form
    712.32/1,067.52 = 326.88/x
  3. Step 3: Cross multiply
    712.32x = 1,067.52 × 326.88
  4. Step 4: Simplify right side
    712.32x = 348,950.94
  5. Step 5: Solve for x
    x = 348,950.94/712.32
  6. Step 6: Final answer
    x = 489.88

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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.