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Finding the Fourth Proportional to 576.28, 862.72 and 439.84

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Solution

The fourth proportional to 576.28, 862.72 and 439.84 is: 658.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.28 : 862.72 = 439.84 : x
  2. Step 2: Convert to fraction form
    576.28/862.72 = 439.84/x
  3. Step 3: Cross multiply
    576.28x = 862.72 × 439.84
  4. Step 4: Simplify right side
    576.28x = 379,458.76
  5. Step 5: Solve for x
    x = 379,458.76/576.28
  6. Step 6: Final answer
    x = 658.46

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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.