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Finding the Fourth Proportional to 451.11, 676.67 and 204.46

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Solution

The fourth proportional to 451.11, 676.67 and 204.46 is: 306.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.11 : 676.67 = 204.46 : x
  2. Step 2: Convert to fraction form
    451.11/676.67 = 204.46/x
  3. Step 3: Cross multiply
    451.11x = 676.67 × 204.46
  4. Step 4: Simplify right side
    451.11x = 138,351.95
  5. Step 5: Solve for x
    x = 138,351.95/451.11
  6. Step 6: Final answer
    x = 306.69

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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.