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Finding the Fourth Proportional to 481.48, 721.78 and 173.26

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Solution

The fourth proportional to 481.48, 721.78 and 173.26 is: 259.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.48 : 721.78 = 173.26 : x
  2. Step 2: Convert to fraction form
    481.48/721.78 = 173.26/x
  3. Step 3: Cross multiply
    481.48x = 721.78 × 173.26
  4. Step 4: Simplify right side
    481.48x = 125,054.74
  5. Step 5: Solve for x
    x = 125,054.74/481.48
  6. Step 6: Final answer
    x = 259.73

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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.