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Finding the Fourth Proportional to 863.87, 1,295.96 and 344.11

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Solution

The fourth proportional to 863.87, 1,295.96 and 344.11 is: 516.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.87 : 1,295.96 = 344.11 : x
  2. Step 2: Convert to fraction form
    863.87/1,295.96 = 344.11/x
  3. Step 3: Cross multiply
    863.87x = 1,295.96 × 344.11
  4. Step 4: Simplify right side
    863.87x = 445,946.32
  5. Step 5: Solve for x
    x = 445,946.32/863.87
  6. Step 6: Final answer
    x = 516.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.