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Finding the Fourth Proportional to 419.28, 625.80 and 385.08

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Solution

The fourth proportional to 419.28, 625.80 and 385.08 is: 574.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.28 : 625.80 = 385.08 : x
  2. Step 2: Convert to fraction form
    419.28/625.80 = 385.08/x
  3. Step 3: Cross multiply
    419.28x = 625.80 × 385.08
  4. Step 4: Simplify right side
    419.28x = 240,983.06
  5. Step 5: Solve for x
    x = 240,983.06/419.28
  6. Step 6: Final answer
    x = 574.75

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