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Finding the Fourth Proportional to 381.14, 525.90 and 233.78

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Solution

The fourth proportional to 381.14, 525.90 and 233.78 is: 322.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.14 : 525.90 = 233.78 : x
  2. Step 2: Convert to fraction form
    381.14/525.90 = 233.78/x
  3. Step 3: Cross multiply
    381.14x = 525.90 × 233.78
  4. Step 4: Simplify right side
    381.14x = 122,944.90
  5. Step 5: Solve for x
    x = 122,944.90/381.14
  6. Step 6: Final answer
    x = 322.57

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