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Finding the Fourth Proportional to 628.52, 942.80 and 281.78

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Solution

The fourth proportional to 628.52, 942.80 and 281.78 is: 422.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.52 : 942.80 = 281.78 : x
  2. Step 2: Convert to fraction form
    628.52/942.80 = 281.78/x
  3. Step 3: Cross multiply
    628.52x = 942.80 × 281.78
  4. Step 4: Simplify right side
    628.52x = 265,662.18
  5. Step 5: Solve for x
    x = 265,662.18/628.52
  6. Step 6: Final answer
    x = 422.68

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