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Finding the Fourth Proportional to 494, 741.80 and 413.44

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Solution

The fourth proportional to 494, 741.80 and 413.44 is: 620.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    494 : 741.80 = 413.44 : x
  2. Step 2: Convert to fraction form
    494/741.80 = 413.44/x
  3. Step 3: Cross multiply
    494x = 741.80 × 413.44
  4. Step 4: Simplify right side
    494x = 306,689.79
  5. Step 5: Solve for x
    x = 306,689.79/494
  6. Step 6: Final answer
    x = 620.83

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