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Finding the Fourth Proportional to 414.06, 622.17 and 384.18

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Solution

The fourth proportional to 414.06, 622.17 and 384.18 is: 577.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.06 : 622.17 = 384.18 : x
  2. Step 2: Convert to fraction form
    414.06/622.17 = 384.18/x
  3. Step 3: Cross multiply
    414.06x = 622.17 × 384.18
  4. Step 4: Simplify right side
    414.06x = 239,025.27
  5. Step 5: Solve for x
    x = 239,025.27/414.06
  6. Step 6: Final answer
    x = 577.27

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