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Finding the Fourth Proportional to 415.76, 623.07 and 198.90

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Solution

The fourth proportional to 415.76, 623.07 and 198.90 is: 298.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.76 : 623.07 = 198.90 : x
  2. Step 2: Convert to fraction form
    415.76/623.07 = 198.90/x
  3. Step 3: Cross multiply
    415.76x = 623.07 × 198.90
  4. Step 4: Simplify right side
    415.76x = 123,928.62
  5. Step 5: Solve for x
    x = 123,928.62/415.76
  6. Step 6: Final answer
    x = 298.08

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