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Finding the Fourth Proportional to 517.02, 775.54 and 413.83

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Solution

The fourth proportional to 517.02, 775.54 and 413.83 is: 620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.02 : 775.54 = 413.83 : x
  2. Step 2: Convert to fraction form
    517.02/775.54 = 413.83/x
  3. Step 3: Cross multiply
    517.02x = 775.54 × 413.83
  4. Step 4: Simplify right side
    517.02x = 320,937.84
  5. Step 5: Solve for x
    x = 320,937.84/517.02
  6. Step 6: Final answer
    x = 620.75

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