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Finding the Fourth Proportional to 451.69, 676.78 and 321.04

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Solution

The fourth proportional to 451.69, 676.78 and 321.04 is: 481.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.69 : 676.78 = 321.04 : x
  2. Step 2: Convert to fraction form
    451.69/676.78 = 321.04/x
  3. Step 3: Cross multiply
    451.69x = 676.78 × 321.04
  4. Step 4: Simplify right side
    451.69x = 217,273.45
  5. Step 5: Solve for x
    x = 217,273.45/451.69
  6. Step 6: Final answer
    x = 481.02

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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.