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Finding the Fourth Proportional to 481.17, 663.98 and 268.46

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Solution

The fourth proportional to 481.17, 663.98 and 268.46 is: 370.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.17 : 663.98 = 268.46 : x
  2. Step 2: Convert to fraction form
    481.17/663.98 = 268.46/x
  3. Step 3: Cross multiply
    481.17x = 663.98 × 268.46
  4. Step 4: Simplify right side
    481.17x = 178,255.85
  5. Step 5: Solve for x
    x = 178,255.85/481.17
  6. Step 6: Final answer
    x = 370.47

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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.