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Finding the Fourth Proportional to 450.66, 676.16 and 219.43

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Solution

The fourth proportional to 450.66, 676.16 and 219.43 is: 329.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.66 : 676.16 = 219.43 : x
  2. Step 2: Convert to fraction form
    450.66/676.16 = 219.43/x
  3. Step 3: Cross multiply
    450.66x = 676.16 × 219.43
  4. Step 4: Simplify right side
    450.66x = 148,370.36
  5. Step 5: Solve for x
    x = 148,370.36/450.66
  6. Step 6: Final answer
    x = 329.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.