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Finding the Fourth Proportional to 415.40, 622.46 and 198.76

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Solution

The fourth proportional to 415.40, 622.46 and 198.76 is: 297.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.40 : 622.46 = 198.76 : x
  2. Step 2: Convert to fraction form
    415.40/622.46 = 198.76/x
  3. Step 3: Cross multiply
    415.40x = 622.46 × 198.76
  4. Step 4: Simplify right side
    415.40x = 123,720.15
  5. Step 5: Solve for x
    x = 123,720.15/415.40
  6. Step 6: Final answer
    x = 297.83

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