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Finding the Fourth Proportional to 496.88, 685.64 and 275.76

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Solution

The fourth proportional to 496.88, 685.64 and 275.76 is: 380.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.88 : 685.64 = 275.76 : x
  2. Step 2: Convert to fraction form
    496.88/685.64 = 275.76/x
  3. Step 3: Cross multiply
    496.88x = 685.64 × 275.76
  4. Step 4: Simplify right side
    496.88x = 189,072.09
  5. Step 5: Solve for x
    x = 189,072.09/496.88
  6. Step 6: Final answer
    x = 380.52

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