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Finding the Fourth Proportional to 414.12, 620.76 and 259.68

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Solution

The fourth proportional to 414.12, 620.76 and 259.68 is: 389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.12 : 620.76 = 259.68 : x
  2. Step 2: Convert to fraction form
    414.12/620.76 = 259.68/x
  3. Step 3: Cross multiply
    414.12x = 620.76 × 259.68
  4. Step 4: Simplify right side
    414.12x = 161,198.96
  5. Step 5: Solve for x
    x = 161,198.96/414.12
  6. Step 6: Final answer
    x = 389.26

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