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Finding the Fourth Proportional to 481.73, 723.27 and 299.27

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Solution

The fourth proportional to 481.73, 723.27 and 299.27 is: 449.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.73 : 723.27 = 299.27 : x
  2. Step 2: Convert to fraction form
    481.73/723.27 = 299.27/x
  3. Step 3: Cross multiply
    481.73x = 723.27 × 299.27
  4. Step 4: Simplify right side
    481.73x = 216,449.40
  5. Step 5: Solve for x
    x = 216,449.40/481.73
  6. Step 6: Final answer
    x = 449.32

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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.