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Finding the Fourth Proportional to 481.06, 663.87 and 271.25

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Solution

The fourth proportional to 481.06, 663.87 and 271.25 is: 374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.06 : 663.87 = 271.25 : x
  2. Step 2: Convert to fraction form
    481.06/663.87 = 271.25/x
  3. Step 3: Cross multiply
    481.06x = 663.87 × 271.25
  4. Step 4: Simplify right side
    481.06x = 180,072.44
  5. Step 5: Solve for x
    x = 180,072.44/481.06
  6. Step 6: Final answer
    x = 374.32

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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.