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Finding the Fourth Proportional to 443.88, 664.20 and 321.84

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Solution

The fourth proportional to 443.88, 664.20 and 321.84 is: 481.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.88 : 664.20 = 321.84 : x
  2. Step 2: Convert to fraction form
    443.88/664.20 = 321.84/x
  3. Step 3: Cross multiply
    443.88x = 664.20 × 321.84
  4. Step 4: Simplify right side
    443.88x = 213,766.13
  5. Step 5: Solve for x
    x = 213,766.13/443.88
  6. Step 6: Final answer
    x = 481.59

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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.