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Finding the Fourth Proportional to 321.56, 481.80 and 225.44

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Solution

The fourth proportional to 321.56, 481.80 and 225.44 is: 337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.56 : 481.80 = 225.44 : x
  2. Step 2: Convert to fraction form
    321.56/481.80 = 225.44/x
  3. Step 3: Cross multiply
    321.56x = 481.80 × 225.44
  4. Step 4: Simplify right side
    321.56x = 108,616.99
  5. Step 5: Solve for x
    x = 108,616.99/321.56
  6. Step 6: Final answer
    x = 337.78

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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.