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Finding the Fourth Proportional to 872.70, 1,308.12 and 324.53

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Solution

The fourth proportional to 872.70, 1,308.12 and 324.53 is: 486.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.70 : 1,308.12 = 324.53 : x
  2. Step 2: Convert to fraction form
    872.70/1,308.12 = 324.53/x
  3. Step 3: Cross multiply
    872.70x = 1,308.12 × 324.53
  4. Step 4: Simplify right side
    872.70x = 424,517.64
  5. Step 5: Solve for x
    x = 424,517.64/872.70
  6. Step 6: Final answer
    x = 486.44

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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.