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Finding the Fourth Proportional to 363.88, 502.16 and 208.64

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Solution

The fourth proportional to 363.88, 502.16 and 208.64 is: 287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.88 : 502.16 = 208.64 : x
  2. Step 2: Convert to fraction form
    363.88/502.16 = 208.64/x
  3. Step 3: Cross multiply
    363.88x = 502.16 × 208.64
  4. Step 4: Simplify right side
    363.88x = 104,770.66
  5. Step 5: Solve for x
    x = 104,770.66/363.88
  6. Step 6: Final answer
    x = 287.93

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