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Finding the Fourth Proportional to 388.31, 582.64 and 205.66

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Solution

The fourth proportional to 388.31, 582.64 and 205.66 is: 308.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.31 : 582.64 = 205.66 : x
  2. Step 2: Convert to fraction form
    388.31/582.64 = 205.66/x
  3. Step 3: Cross multiply
    388.31x = 582.64 × 205.66
  4. Step 4: Simplify right side
    388.31x = 119,828.75
  5. Step 5: Solve for x
    x = 119,828.75/388.31
  6. Step 6: Final answer
    x = 308.59

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