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Finding the Fourth Proportional to 413.68, 620.04 and 196.80

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Solution

The fourth proportional to 413.68, 620.04 and 196.80 is: 294.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.68 : 620.04 = 196.80 : x
  2. Step 2: Convert to fraction form
    413.68/620.04 = 196.80/x
  3. Step 3: Cross multiply
    413.68x = 620.04 × 196.80
  4. Step 4: Simplify right side
    413.68x = 122,023.87
  5. Step 5: Solve for x
    x = 122,023.87/413.68
  6. Step 6: Final answer
    x = 294.97

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