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Finding the Fourth Proportional to 549.71, 822.86 and 413.02

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Solution

The fourth proportional to 549.71, 822.86 and 413.02 is: 618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.71 : 822.86 = 413.02 : x
  2. Step 2: Convert to fraction form
    549.71/822.86 = 413.02/x
  3. Step 3: Cross multiply
    549.71x = 822.86 × 413.02
  4. Step 4: Simplify right side
    549.71x = 339,860.46
  5. Step 5: Solve for x
    x = 339,860.46/549.71
  6. Step 6: Final answer
    x = 618.25

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