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Finding the Fourth Proportional to 872.20, 1,308.18 and 324.64

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Solution

The fourth proportional to 872.20, 1,308.18 and 324.64 is: 486.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.20 : 1,308.18 = 324.64 : x
  2. Step 2: Convert to fraction form
    872.20/1,308.18 = 324.64/x
  3. Step 3: Cross multiply
    872.20x = 1,308.18 × 324.64
  4. Step 4: Simplify right side
    872.20x = 424,687.56
  5. Step 5: Solve for x
    x = 424,687.56/872.20
  6. Step 6: Final answer
    x = 486.92

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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.