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Finding the Fourth Proportional to 564.16, 846.72 and 275.84

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Solution

The fourth proportional to 564.16, 846.72 and 275.84 is: 413.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.16 : 846.72 = 275.84 : x
  2. Step 2: Convert to fraction form
    564.16/846.72 = 275.84/x
  3. Step 3: Cross multiply
    564.16x = 846.72 × 275.84
  4. Step 4: Simplify right side
    564.16x = 233,559.24
  5. Step 5: Solve for x
    x = 233,559.24/564.16
  6. Step 6: Final answer
    x = 413.99

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