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Finding the Fourth Proportional to 380.52, 570.42 and 174.96

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Solution

The fourth proportional to 380.52, 570.42 and 174.96 is: 262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.52 : 570.42 = 174.96 : x
  2. Step 2: Convert to fraction form
    380.52/570.42 = 174.96/x
  3. Step 3: Cross multiply
    380.52x = 570.42 × 174.96
  4. Step 4: Simplify right side
    380.52x = 99,800.68
  5. Step 5: Solve for x
    x = 99,800.68/380.52
  6. Step 6: Final answer
    x = 262.27

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