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Finding the Fourth Proportional to 394.24, 591.56 and 257.56

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Solution

The fourth proportional to 394.24, 591.56 and 257.56 is: 386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.24 : 591.56 = 257.56 : x
  2. Step 2: Convert to fraction form
    394.24/591.56 = 257.56/x
  3. Step 3: Cross multiply
    394.24x = 591.56 × 257.56
  4. Step 4: Simplify right side
    394.24x = 152,362.19
  5. Step 5: Solve for x
    x = 152,362.19/394.24
  6. Step 6: Final answer
    x = 386.47

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