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Finding the Fourth Proportional to 563.28, 842.85 and 332.27

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Solution

The fourth proportional to 563.28, 842.85 and 332.27 is: 497.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.28 : 842.85 = 332.27 : x
  2. Step 2: Convert to fraction form
    563.28/842.85 = 332.27/x
  3. Step 3: Cross multiply
    563.28x = 842.85 × 332.27
  4. Step 4: Simplify right side
    563.28x = 280,049.56
  5. Step 5: Solve for x
    x = 280,049.56/563.28
  6. Step 6: Final answer
    x = 497.18

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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.