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Finding the Fourth Proportional to 481.09, 721.46 and 172.86

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Solution

The fourth proportional to 481.09, 721.46 and 172.86 is: 259.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.09 : 721.46 = 172.86 : x
  2. Step 2: Convert to fraction form
    481.09/721.46 = 172.86/x
  3. Step 3: Cross multiply
    481.09x = 721.46 × 172.86
  4. Step 4: Simplify right side
    481.09x = 124,710.36
  5. Step 5: Solve for x
    x = 124,710.36/481.09
  6. Step 6: Final answer
    x = 259.22

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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.