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Finding the Fourth Proportional to 481.75, 722.47 and 308.61

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Solution

The fourth proportional to 481.75, 722.47 and 308.61 is: 462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.75 : 722.47 = 308.61 : x
  2. Step 2: Convert to fraction form
    481.75/722.47 = 308.61/x
  3. Step 3: Cross multiply
    481.75x = 722.47 × 308.61
  4. Step 4: Simplify right side
    481.75x = 222,961.27
  5. Step 5: Solve for x
    x = 222,961.27/481.75
  6. Step 6: Final answer
    x = 462.82

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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.