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Finding the Fourth Proportional to 490.69, 735.88 and 271.23

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Solution

The fourth proportional to 490.69, 735.88 and 271.23 is: 406.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.69 : 735.88 = 271.23 : x
  2. Step 2: Convert to fraction form
    490.69/735.88 = 271.23/x
  3. Step 3: Cross multiply
    490.69x = 735.88 × 271.23
  4. Step 4: Simplify right side
    490.69x = 199,592.05
  5. Step 5: Solve for x
    x = 199,592.05/490.69
  6. Step 6: Final answer
    x = 406.76

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Why These Related Problems?

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