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Finding the Fourth Proportional to 481.34, 664.49 and 324.78

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Solution

The fourth proportional to 481.34, 664.49 and 324.78 is: 448.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.34 : 664.49 = 324.78 : x
  2. Step 2: Convert to fraction form
    481.34/664.49 = 324.78/x
  3. Step 3: Cross multiply
    481.34x = 664.49 × 324.78
  4. Step 4: Simplify right side
    481.34x = 215,811.44
  5. Step 5: Solve for x
    x = 215,811.44/481.34
  6. Step 6: Final answer
    x = 448.36

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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.