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Finding the Fourth Proportional to 563.78, 846 and 198.87

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Solution

The fourth proportional to 563.78, 846 and 198.87 is: 298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.78 : 846 = 198.87 : x
  2. Step 2: Convert to fraction form
    563.78/846 = 198.87/x
  3. Step 3: Cross multiply
    563.78x = 846 × 198.87
  4. Step 4: Simplify right side
    563.78x = 168,244.02
  5. Step 5: Solve for x
    x = 168,244.02/563.78
  6. Step 6: Final answer
    x = 298.42

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