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Finding the Fourth Proportional to 418.64, 627.98 and 199.46

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Solution

The fourth proportional to 418.64, 627.98 and 199.46 is: 299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.64 : 627.98 = 199.46 : x
  2. Step 2: Convert to fraction form
    418.64/627.98 = 199.46/x
  3. Step 3: Cross multiply
    418.64x = 627.98 × 199.46
  4. Step 4: Simplify right side
    418.64x = 125,257.46
  5. Step 5: Solve for x
    x = 125,257.46/418.64
  6. Step 6: Final answer
    x = 299.20

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