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Finding the Fourth Proportional to 413.21, 619.71 and 120.65

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Solution

The fourth proportional to 413.21, 619.71 and 120.65 is: 180.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.21 : 619.71 = 120.65 : x
  2. Step 2: Convert to fraction form
    413.21/619.71 = 120.65/x
  3. Step 3: Cross multiply
    413.21x = 619.71 × 120.65
  4. Step 4: Simplify right side
    413.21x = 74,764.91
  5. Step 5: Solve for x
    x = 74,764.91/413.21
  6. Step 6: Final answer
    x = 180.94

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