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Finding the Fourth Proportional to 321.44, 443.76 and 223.28

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Solution

The fourth proportional to 321.44, 443.76 and 223.28 is: 308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.44 : 443.76 = 223.28 : x
  2. Step 2: Convert to fraction form
    321.44/443.76 = 223.28/x
  3. Step 3: Cross multiply
    321.44x = 443.76 × 223.28
  4. Step 4: Simplify right side
    321.44x = 99,082.73
  5. Step 5: Solve for x
    x = 99,082.73/321.44
  6. Step 6: Final answer
    x = 308.25

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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.