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Finding the Fourth Proportional to 481.41, 721.98 and 169.02

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Solution

The fourth proportional to 481.41, 721.98 and 169.02 is: 253.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.41 : 721.98 = 169.02 : x
  2. Step 2: Convert to fraction form
    481.41/721.98 = 169.02/x
  3. Step 3: Cross multiply
    481.41x = 721.98 × 169.02
  4. Step 4: Simplify right side
    481.41x = 122,029.06
  5. Step 5: Solve for x
    x = 122,029.06/481.41
  6. Step 6: Final answer
    x = 253.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.