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Finding the Fourth Proportional to 381.78, 526.95 and 255.96

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Solution

The fourth proportional to 381.78, 526.95 and 255.96 is: 353.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.78 : 526.95 = 255.96 : x
  2. Step 2: Convert to fraction form
    381.78/526.95 = 255.96/x
  3. Step 3: Cross multiply
    381.78x = 526.95 × 255.96
  4. Step 4: Simplify right side
    381.78x = 134,878.12
  5. Step 5: Solve for x
    x = 134,878.12/381.78
  6. Step 6: Final answer
    x = 353.29

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