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Finding the Fourth Proportional to 481.98, 664.70 and 324.48

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Solution

The fourth proportional to 481.98, 664.70 and 324.48 is: 447.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.98 : 664.70 = 324.48 : x
  2. Step 2: Convert to fraction form
    481.98/664.70 = 324.48/x
  3. Step 3: Cross multiply
    481.98x = 664.70 × 324.48
  4. Step 4: Simplify right side
    481.98x = 215,680.23
  5. Step 5: Solve for x
    x = 215,680.23/481.98
  6. Step 6: Final answer
    x = 447.49

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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.