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Finding the Fourth Proportional to 589.02, 883.08 and 198.78

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Solution

The fourth proportional to 589.02, 883.08 and 198.78 is: 298.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.02 : 883.08 = 198.78 : x
  2. Step 2: Convert to fraction form
    589.02/883.08 = 198.78/x
  3. Step 3: Cross multiply
    589.02x = 883.08 × 198.78
  4. Step 4: Simplify right side
    589.02x = 175,538.64
  5. Step 5: Solve for x
    x = 175,538.64/589.02
  6. Step 6: Final answer
    x = 298.02

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