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Finding the Fourth Proportional to 481.34, 664.22 and 268.64

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Solution

The fourth proportional to 481.34, 664.22 and 268.64 is: 370.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.34 : 664.22 = 268.64 : x
  2. Step 2: Convert to fraction form
    481.34/664.22 = 268.64/x
  3. Step 3: Cross multiply
    481.34x = 664.22 × 268.64
  4. Step 4: Simplify right side
    481.34x = 178,435.90
  5. Step 5: Solve for x
    x = 178,435.90/481.34
  6. Step 6: Final answer
    x = 370.71

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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.