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Finding the Fourth Proportional to 824.91, 1,237.17 and 239.78

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Solution

The fourth proportional to 824.91, 1,237.17 and 239.78 is: 359.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.91 : 1,237.17 = 239.78 : x
  2. Step 2: Convert to fraction form
    824.91/1,237.17 = 239.78/x
  3. Step 3: Cross multiply
    824.91x = 1,237.17 × 239.78
  4. Step 4: Simplify right side
    824.91x = 296,642.44
  5. Step 5: Solve for x
    x = 296,642.44/824.91
  6. Step 6: Final answer
    x = 359.61

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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.