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Finding the Fourth Proportional to 321.85, 444.28 and 217.24

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Solution

The fourth proportional to 321.85, 444.28 and 217.24 is: 299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.85 : 444.28 = 217.24 : x
  2. Step 2: Convert to fraction form
    321.85/444.28 = 217.24/x
  3. Step 3: Cross multiply
    321.85x = 444.28 × 217.24
  4. Step 4: Simplify right side
    321.85x = 96,513.73
  5. Step 5: Solve for x
    x = 96,513.73/321.85
  6. Step 6: Final answer
    x = 299.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.