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Finding the Fourth Proportional to 490.48, 676.49 and 333.25

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Solution

The fourth proportional to 490.48, 676.49 and 333.25 is: 459.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.48 : 676.49 = 333.25 : x
  2. Step 2: Convert to fraction form
    490.48/676.49 = 333.25/x
  3. Step 3: Cross multiply
    490.48x = 676.49 × 333.25
  4. Step 4: Simplify right side
    490.48x = 225,441.19
  5. Step 5: Solve for x
    x = 225,441.19/490.48
  6. Step 6: Final answer
    x = 459.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.