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Finding the Fourth Proportional to 419.36, 628.20 and 327.60

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Solution

The fourth proportional to 419.36, 628.20 and 327.60 is: 490.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.36 : 628.20 = 327.60 : x
  2. Step 2: Convert to fraction form
    419.36/628.20 = 327.60/x
  3. Step 3: Cross multiply
    419.36x = 628.20 × 327.60
  4. Step 4: Simplify right side
    419.36x = 205,798.32
  5. Step 5: Solve for x
    x = 205,798.32/419.36
  6. Step 6: Final answer
    x = 490.74

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