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Finding the Fourth Proportional to 872.54, 1,308.83 and 295.42

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Solution

The fourth proportional to 872.54, 1,308.83 and 295.42 is: 443.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.54 : 1,308.83 = 295.42 : x
  2. Step 2: Convert to fraction form
    872.54/1,308.83 = 295.42/x
  3. Step 3: Cross multiply
    872.54x = 1,308.83 × 295.42
  4. Step 4: Simplify right side
    872.54x = 386,654.56
  5. Step 5: Solve for x
    x = 386,654.56/872.54
  6. Step 6: Final answer
    x = 443.14

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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.