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Finding the Fourth Proportional to 481.06, 663.93 and 271.28

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Solution

The fourth proportional to 481.06, 663.93 and 271.28 is: 374.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.06 : 663.93 = 271.28 : x
  2. Step 2: Convert to fraction form
    481.06/663.93 = 271.28/x
  3. Step 3: Cross multiply
    481.06x = 663.93 × 271.28
  4. Step 4: Simplify right side
    481.06x = 180,111.91
  5. Step 5: Solve for x
    x = 180,111.91/481.06
  6. Step 6: Final answer
    x = 374.41

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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.