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Finding the Fourth Proportional to 413.38, 619.90 and 196.80

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Solution

The fourth proportional to 413.38, 619.90 and 196.80 is: 295.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.38 : 619.90 = 196.80 : x
  2. Step 2: Convert to fraction form
    413.38/619.90 = 196.80/x
  3. Step 3: Cross multiply
    413.38x = 619.90 × 196.80
  4. Step 4: Simplify right side
    413.38x = 121,999.84
  5. Step 5: Solve for x
    x = 121,999.84/413.38
  6. Step 6: Final answer
    x = 295.13

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