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Finding the Fourth Proportional to 456.56, 685.02 and 399.44

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Solution

The fourth proportional to 456.56, 685.02 and 399.44 is: 599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.56 : 685.02 = 399.44 : x
  2. Step 2: Convert to fraction form
    456.56/685.02 = 399.44/x
  3. Step 3: Cross multiply
    456.56x = 685.02 × 399.44
  4. Step 4: Simplify right side
    456.56x = 273,624.39
  5. Step 5: Solve for x
    x = 273,624.39/456.56
  6. Step 6: Final answer
    x = 599.32

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