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Finding the Fourth Proportional to 481.73, 722.36 and 276.24

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Solution

The fourth proportional to 481.73, 722.36 and 276.24 is: 414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.73 : 722.36 = 276.24 : x
  2. Step 2: Convert to fraction form
    481.73/722.36 = 276.24/x
  3. Step 3: Cross multiply
    481.73x = 722.36 × 276.24
  4. Step 4: Simplify right side
    481.73x = 199,543.35
  5. Step 5: Solve for x
    x = 199,543.35/481.73
  6. Step 6: Final answer
    x = 414.23

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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.