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Finding the Fourth Proportional to 564.04, 778.98 and 399.16

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Solution

The fourth proportional to 564.04, 778.98 and 399.16 is: 551.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.04 : 778.98 = 399.16 : x
  2. Step 2: Convert to fraction form
    564.04/778.98 = 399.16/x
  3. Step 3: Cross multiply
    564.04x = 778.98 × 399.16
  4. Step 4: Simplify right side
    564.04x = 310,937.66
  5. Step 5: Solve for x
    x = 310,937.66/564.04
  6. Step 6: Final answer
    x = 551.27

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