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Finding the Fourth Proportional to 481.85, 664.84 and 324.78

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Solution

The fourth proportional to 481.85, 664.84 and 324.78 is: 448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.85 : 664.84 = 324.78 : x
  2. Step 2: Convert to fraction form
    481.85/664.84 = 324.78/x
  3. Step 3: Cross multiply
    481.85x = 664.84 × 324.78
  4. Step 4: Simplify right side
    481.85x = 215,924.65
  5. Step 5: Solve for x
    x = 215,924.65/481.85
  6. Step 6: Final answer
    x = 448.12

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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.