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Finding the Fourth Proportional to 274.86, 413 and 206.82

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Solution

The fourth proportional to 274.86, 413 and 206.82 is: 310.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.86 : 413 = 206.82 : x
  2. Step 2: Convert to fraction form
    274.86/413 = 206.82/x
  3. Step 3: Cross multiply
    274.86x = 413 × 206.82
  4. Step 4: Simplify right side
    274.86x = 85,416.66
  5. Step 5: Solve for x
    x = 85,416.66/274.86
  6. Step 6: Final answer
    x = 310.76

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