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Finding the Fourth Proportional to 414.98, 622.46 and 126.38

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Solution

The fourth proportional to 414.98, 622.46 and 126.38 is: 189.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.98 : 622.46 = 126.38 : x
  2. Step 2: Convert to fraction form
    414.98/622.46 = 126.38/x
  3. Step 3: Cross multiply
    414.98x = 622.46 × 126.38
  4. Step 4: Simplify right side
    414.98x = 78,666.49
  5. Step 5: Solve for x
    x = 78,666.49/414.98
  6. Step 6: Final answer
    x = 189.57

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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.