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Finding the Fourth Proportional to 484.45, 727.19 and 301.97

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Solution

The fourth proportional to 484.45, 727.19 and 301.97 is: 453.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.45 : 727.19 = 301.97 : x
  2. Step 2: Convert to fraction form
    484.45/727.19 = 301.97/x
  3. Step 3: Cross multiply
    484.45x = 727.19 × 301.97
  4. Step 4: Simplify right side
    484.45x = 219,589.56
  5. Step 5: Solve for x
    x = 219,589.56/484.45
  6. Step 6: Final answer
    x = 453.28

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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.