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Finding the Fourth Proportional to 413.15, 619.74 and 139.23

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Solution

The fourth proportional to 413.15, 619.74 and 139.23 is: 208.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.15 : 619.74 = 139.23 : x
  2. Step 2: Convert to fraction form
    413.15/619.74 = 139.23/x
  3. Step 3: Cross multiply
    413.15x = 619.74 × 139.23
  4. Step 4: Simplify right side
    413.15x = 86,286.40
  5. Step 5: Solve for x
    x = 86,286.40/413.15
  6. Step 6: Final answer
    x = 208.85

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