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Finding the Fourth Proportional to 450.66, 676.03 and 329.69

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Solution

The fourth proportional to 450.66, 676.03 and 329.69 is: 494.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.66 : 676.03 = 329.69 : x
  2. Step 2: Convert to fraction form
    450.66/676.03 = 329.69/x
  3. Step 3: Cross multiply
    450.66x = 676.03 × 329.69
  4. Step 4: Simplify right side
    450.66x = 222,880.33
  5. Step 5: Solve for x
    x = 222,880.33/450.66
  6. Step 6: Final answer
    x = 494.56

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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.