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Finding the Fourth Proportional to 864.15, 1,296.31 and 247.85

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Solution

The fourth proportional to 864.15, 1,296.31 and 247.85 is: 371.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.15 : 1,296.31 = 247.85 : x
  2. Step 2: Convert to fraction form
    864.15/1,296.31 = 247.85/x
  3. Step 3: Cross multiply
    864.15x = 1,296.31 × 247.85
  4. Step 4: Simplify right side
    864.15x = 321,290.43
  5. Step 5: Solve for x
    x = 321,290.43/864.15
  6. Step 6: Final answer
    x = 371.80

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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.