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Finding the Fourth Proportional to 490.72, 735.42 and 259.76

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Solution

The fourth proportional to 490.72, 735.42 and 259.76 is: 389.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.72 : 735.42 = 259.76 : x
  2. Step 2: Convert to fraction form
    490.72/735.42 = 259.76/x
  3. Step 3: Cross multiply
    490.72x = 735.42 × 259.76
  4. Step 4: Simplify right side
    490.72x = 191,034.54
  5. Step 5: Solve for x
    x = 191,034.54/490.72
  6. Step 6: Final answer
    x = 389.30

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