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Finding the Fourth Proportional to 387.80, 582 and 171.56

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Solution

The fourth proportional to 387.80, 582 and 171.56 is: 257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.80 : 582 = 171.56 : x
  2. Step 2: Convert to fraction form
    387.80/582 = 171.56/x
  3. Step 3: Cross multiply
    387.80x = 582 × 171.56
  4. Step 4: Simplify right side
    387.80x = 99,847.92
  5. Step 5: Solve for x
    x = 99,847.92/387.80
  6. Step 6: Final answer
    x = 257.47

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