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Finding the Fourth Proportional to 343.84, 515.76 and 278.88

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Solution

The fourth proportional to 343.84, 515.76 and 278.88 is: 418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.84 : 515.76 = 278.88 : x
  2. Step 2: Convert to fraction form
    343.84/515.76 = 278.88/x
  3. Step 3: Cross multiply
    343.84x = 515.76 × 278.88
  4. Step 4: Simplify right side
    343.84x = 143,835.15
  5. Step 5: Solve for x
    x = 143,835.15/343.84
  6. Step 6: Final answer
    x = 418.32

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