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Finding the Fourth Proportional to 872.27, 1,308.19 and 295.14

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Solution

The fourth proportional to 872.27, 1,308.19 and 295.14 is: 442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.27 : 1,308.19 = 295.14 : x
  2. Step 2: Convert to fraction form
    872.27/1,308.19 = 295.14/x
  3. Step 3: Cross multiply
    872.27x = 1,308.19 × 295.14
  4. Step 4: Simplify right side
    872.27x = 386,099.20
  5. Step 5: Solve for x
    x = 386,099.20/872.27
  6. Step 6: Final answer
    x = 442.64

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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.