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Finding the Fourth Proportional to 419.00, 627.68 and 199.31

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Solution

The fourth proportional to 419.00, 627.68 and 199.31 is: 298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.00 : 627.68 = 199.31 : x
  2. Step 2: Convert to fraction form
    419.00/627.68 = 199.31/x
  3. Step 3: Cross multiply
    419.00x = 627.68 × 199.31
  4. Step 4: Simplify right side
    419.00x = 125,104.97
  5. Step 5: Solve for x
    x = 125,104.97/419.00
  6. Step 6: Final answer
    x = 298.58

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