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Finding the Fourth Proportional to 300.97, 451.46 and 84.53

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Solution

The fourth proportional to 300.97, 451.46 and 84.53 is: 126.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.97 : 451.46 = 84.53 : x
  2. Step 2: Convert to fraction form
    300.97/451.46 = 84.53/x
  3. Step 3: Cross multiply
    300.97x = 451.46 × 84.53
  4. Step 4: Simplify right side
    300.97x = 38,161.91
  5. Step 5: Solve for x
    x = 38,161.91/300.97
  6. Step 6: Final answer
    x = 126.80

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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.