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Finding the Fourth Proportional to 422.78, 633.95 and 256.17

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Solution

The fourth proportional to 422.78, 633.95 and 256.17 is: 384.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.78 : 633.95 = 256.17 : x
  2. Step 2: Convert to fraction form
    422.78/633.95 = 256.17/x
  3. Step 3: Cross multiply
    422.78x = 633.95 × 256.17
  4. Step 4: Simplify right side
    422.78x = 162,394.52
  5. Step 5: Solve for x
    x = 162,394.52/422.78
  6. Step 6: Final answer
    x = 384.12

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