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Finding the Fourth Proportional to 280.23, 419.94 and 219.07

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Solution

The fourth proportional to 280.23, 419.94 and 219.07 is: 328.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.23 : 419.94 = 219.07 : x
  2. Step 2: Convert to fraction form
    280.23/419.94 = 219.07/x
  3. Step 3: Cross multiply
    280.23x = 419.94 × 219.07
  4. Step 4: Simplify right side
    280.23x = 91,996.26
  5. Step 5: Solve for x
    x = 91,996.26/280.23
  6. Step 6: Final answer
    x = 328.29

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