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Finding the Fourth Proportional to 451.57, 676.41 and 343.03

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Solution

The fourth proportional to 451.57, 676.41 and 343.03 is: 513.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.57 : 676.41 = 343.03 : x
  2. Step 2: Convert to fraction form
    451.57/676.41 = 343.03/x
  3. Step 3: Cross multiply
    451.57x = 676.41 × 343.03
  4. Step 4: Simplify right side
    451.57x = 232,028.92
  5. Step 5: Solve for x
    x = 232,028.92/451.57
  6. Step 6: Final answer
    x = 513.83

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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.