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Finding the Fourth Proportional to 413.78, 620.71 and 140.06

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Solution

The fourth proportional to 413.78, 620.71 and 140.06 is: 210.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.78 : 620.71 = 140.06 : x
  2. Step 2: Convert to fraction form
    413.78/620.71 = 140.06/x
  3. Step 3: Cross multiply
    413.78x = 620.71 × 140.06
  4. Step 4: Simplify right side
    413.78x = 86,937.84
  5. Step 5: Solve for x
    x = 86,937.84/413.78
  6. Step 6: Final answer
    x = 210.11

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