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Finding the Fourth Proportional to 413.78, 620.64 and 121.26

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Solution

The fourth proportional to 413.78, 620.64 and 121.26 is: 181.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.78 : 620.64 = 121.26 : x
  2. Step 2: Convert to fraction form
    413.78/620.64 = 121.26/x
  3. Step 3: Cross multiply
    413.78x = 620.64 × 121.26
  4. Step 4: Simplify right side
    413.78x = 75,258.81
  5. Step 5: Solve for x
    x = 75,258.81/413.78
  6. Step 6: Final answer
    x = 181.88

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