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Finding the Fourth Proportional to 490.26, 735.31 and 216.25

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Solution

The fourth proportional to 490.26, 735.31 and 216.25 is: 324.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.26 : 735.31 = 216.25 : x
  2. Step 2: Convert to fraction form
    490.26/735.31 = 216.25/x
  3. Step 3: Cross multiply
    490.26x = 735.31 × 216.25
  4. Step 4: Simplify right side
    490.26x = 159,010.79
  5. Step 5: Solve for x
    x = 159,010.79/490.26
  6. Step 6: Final answer
    x = 324.34

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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.