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Finding the Fourth Proportional to 414.92, 622.53 and 198.35

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Solution

The fourth proportional to 414.92, 622.53 and 198.35 is: 297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.92 : 622.53 = 198.35 : x
  2. Step 2: Convert to fraction form
    414.92/622.53 = 198.35/x
  3. Step 3: Cross multiply
    414.92x = 622.53 × 198.35
  4. Step 4: Simplify right side
    414.92x = 123,477.27
  5. Step 5: Solve for x
    x = 123,477.27/414.92
  6. Step 6: Final answer
    x = 297.59

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