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Finding the Fourth Proportional to 451.62, 676.29 and 343.26

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Solution

The fourth proportional to 451.62, 676.29 and 343.26 is: 514.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.62 : 676.29 = 343.26 : x
  2. Step 2: Convert to fraction form
    451.62/676.29 = 343.26/x
  3. Step 3: Cross multiply
    451.62x = 676.29 × 343.26
  4. Step 4: Simplify right side
    451.62x = 232,143.31
  5. Step 5: Solve for x
    x = 232,143.31/451.62
  6. Step 6: Final answer
    x = 514.02

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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.