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Finding the Fourth Proportional to 490.69, 676.90 and 333.33

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Solution

The fourth proportional to 490.69, 676.90 and 333.33 is: 459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.69 : 676.90 = 333.33 : x
  2. Step 2: Convert to fraction form
    490.69/676.90 = 333.33/x
  3. Step 3: Cross multiply
    490.69x = 676.90 × 333.33
  4. Step 4: Simplify right side
    490.69x = 225,631.08
  5. Step 5: Solve for x
    x = 225,631.08/490.69
  6. Step 6: Final answer
    x = 459.82

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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.