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Finding the Fourth Proportional to 863.41, 1,295.31 and 247.09

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Solution

The fourth proportional to 863.41, 1,295.31 and 247.09 is: 370.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.41 : 1,295.31 = 247.09 : x
  2. Step 2: Convert to fraction form
    863.41/1,295.31 = 247.09/x
  3. Step 3: Cross multiply
    863.41x = 1,295.31 × 247.09
  4. Step 4: Simplify right side
    863.41x = 320,061.39
  5. Step 5: Solve for x
    x = 320,061.39/863.41
  6. Step 6: Final answer
    x = 370.70

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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.