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Finding the Fourth Proportional to 564.56, 779.04 and 343.68

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Solution

The fourth proportional to 564.56, 779.04 and 343.68 is: 474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.56 : 779.04 = 343.68 : x
  2. Step 2: Convert to fraction form
    564.56/779.04 = 343.68/x
  3. Step 3: Cross multiply
    564.56x = 779.04 × 343.68
  4. Step 4: Simplify right side
    564.56x = 267,740.47
  5. Step 5: Solve for x
    x = 267,740.47/564.56
  6. Step 6: Final answer
    x = 474.25

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