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Finding the Fourth Proportional to 481.52, 664.40 and 323.84

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Solution

The fourth proportional to 481.52, 664.40 and 323.84 is: 446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.52 : 664.40 = 323.84 : x
  2. Step 2: Convert to fraction form
    481.52/664.40 = 323.84/x
  3. Step 3: Cross multiply
    481.52x = 664.40 × 323.84
  4. Step 4: Simplify right side
    481.52x = 215,159.30
  5. Step 5: Solve for x
    x = 215,159.30/481.52
  6. Step 6: Final answer
    x = 446.83

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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.