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Finding the Fourth Proportional to 305.76, 421.77 and 249.84

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Solution

The fourth proportional to 305.76, 421.77 and 249.84 is: 344.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.76 : 421.77 = 249.84 : x
  2. Step 2: Convert to fraction form
    305.76/421.77 = 249.84/x
  3. Step 3: Cross multiply
    305.76x = 421.77 × 249.84
  4. Step 4: Simplify right side
    305.76x = 105,375.02
  5. Step 5: Solve for x
    x = 105,375.02/305.76
  6. Step 6: Final answer
    x = 344.63

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