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Finding the Fourth Proportional to 490.26, 735.78 and 233.76

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Solution

The fourth proportional to 490.26, 735.78 and 233.76 is: 350.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.26 : 735.78 = 233.76 : x
  2. Step 2: Convert to fraction form
    490.26/735.78 = 233.76/x
  3. Step 3: Cross multiply
    490.26x = 735.78 × 233.76
  4. Step 4: Simplify right side
    490.26x = 171,995.93
  5. Step 5: Solve for x
    x = 171,995.93/490.26
  6. Step 6: Final answer
    x = 350.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.