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Finding the Fourth Proportional to 456.30, 682.83 and 262.98

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Solution

The fourth proportional to 456.30, 682.83 and 262.98 is: 393.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.30 : 682.83 = 262.98 : x
  2. Step 2: Convert to fraction form
    456.30/682.83 = 262.98/x
  3. Step 3: Cross multiply
    456.30x = 682.83 × 262.98
  4. Step 4: Simplify right side
    456.30x = 179,570.63
  5. Step 5: Solve for x
    x = 179,570.63/456.30
  6. Step 6: Final answer
    x = 393.54

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