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Finding the Fourth Proportional to 481.24, 721.83 and 134.62

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Solution

The fourth proportional to 481.24, 721.83 and 134.62 is: 201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.24 : 721.83 = 134.62 : x
  2. Step 2: Convert to fraction form
    481.24/721.83 = 134.62/x
  3. Step 3: Cross multiply
    481.24x = 721.83 × 134.62
  4. Step 4: Simplify right side
    481.24x = 97,172.75
  5. Step 5: Solve for x
    x = 97,172.75/481.24
  6. Step 6: Final answer
    x = 201.92

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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.