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Finding the Fourth Proportional to 413.92, 620.88 and 105.80

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Solution

The fourth proportional to 413.92, 620.88 and 105.80 is: 158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.92 : 620.88 = 105.80 : x
  2. Step 2: Convert to fraction form
    413.92/620.88 = 105.80/x
  3. Step 3: Cross multiply
    413.92x = 620.88 × 105.80
  4. Step 4: Simplify right side
    413.92x = 65,689.10
  5. Step 5: Solve for x
    x = 65,689.10/413.92
  6. Step 6: Final answer
    x = 158.70

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