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Finding the Fourth Proportional to 490.80, 676.62 and 333.16

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Solution

The fourth proportional to 490.80, 676.62 and 333.16 is: 459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.80 : 676.62 = 333.16 : x
  2. Step 2: Convert to fraction form
    490.80/676.62 = 333.16/x
  3. Step 3: Cross multiply
    490.80x = 676.62 × 333.16
  4. Step 4: Simplify right side
    490.80x = 225,422.72
  5. Step 5: Solve for x
    x = 225,422.72/490.80
  6. Step 6: Final answer
    x = 459.30

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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.