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Finding the Fourth Proportional to 453.96, 622.24 and 447.56

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Solution

The fourth proportional to 453.96, 622.24 and 447.56 is: 613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.96 : 622.24 = 447.56 : x
  2. Step 2: Convert to fraction form
    453.96/622.24 = 447.56/x
  3. Step 3: Cross multiply
    453.96x = 622.24 × 447.56
  4. Step 4: Simplify right side
    453.96x = 278,489.73
  5. Step 5: Solve for x
    x = 278,489.73/453.96
  6. Step 6: Final answer
    x = 613.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.