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Finding the Fourth Proportional to 872.59, 1,309.11 and 295.47

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Solution

The fourth proportional to 872.59, 1,309.11 and 295.47 is: 443.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.59 : 1,309.11 = 295.47 : x
  2. Step 2: Convert to fraction form
    872.59/1,309.11 = 295.47/x
  3. Step 3: Cross multiply
    872.59x = 1,309.11 × 295.47
  4. Step 4: Simplify right side
    872.59x = 386,802.73
  5. Step 5: Solve for x
    x = 386,802.73/872.59
  6. Step 6: Final answer
    x = 443.28

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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.