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Finding the Fourth Proportional to 576.28, 864.56 and 332.96

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Solution

The fourth proportional to 576.28, 864.56 and 332.96 is: 499.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.28 : 864.56 = 332.96 : x
  2. Step 2: Convert to fraction form
    576.28/864.56 = 332.96/x
  3. Step 3: Cross multiply
    576.28x = 864.56 × 332.96
  4. Step 4: Simplify right side
    576.28x = 287,863.90
  5. Step 5: Solve for x
    x = 287,863.90/576.28
  6. Step 6: Final answer
    x = 499.52

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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.