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Finding the Fourth Proportional to 321.64, 443.78 and 217.96

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Solution

The fourth proportional to 321.64, 443.78 and 217.96 is: 300.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.64 : 443.78 = 217.96 : x
  2. Step 2: Convert to fraction form
    321.64/443.78 = 217.96/x
  3. Step 3: Cross multiply
    321.64x = 443.78 × 217.96
  4. Step 4: Simplify right side
    321.64x = 96,726.29
  5. Step 5: Solve for x
    x = 96,726.29/321.64
  6. Step 6: Final answer
    x = 300.73

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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.