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Finding the Fourth Proportional to 414.94, 622.05 and 198.36

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Solution

The fourth proportional to 414.94, 622.05 and 198.36 is: 297.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.94 : 622.05 = 198.36 : x
  2. Step 2: Convert to fraction form
    414.94/622.05 = 198.36/x
  3. Step 3: Cross multiply
    414.94x = 622.05 × 198.36
  4. Step 4: Simplify right side
    414.94x = 123,389.84
  5. Step 5: Solve for x
    x = 123,389.84/414.94
  6. Step 6: Final answer
    x = 297.37

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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.