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Finding the Fourth Proportional to 280.18, 419.84 and 219

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Solution

The fourth proportional to 280.18, 419.84 and 219 is: 328.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.18 : 419.84 = 219 : x
  2. Step 2: Convert to fraction form
    280.18/419.84 = 219/x
  3. Step 3: Cross multiply
    280.18x = 419.84 × 219
  4. Step 4: Simplify right side
    280.18x = 91,944.96
  5. Step 5: Solve for x
    x = 91,944.96/280.18
  6. Step 6: Final answer
    x = 328.16

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