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Finding the Fourth Proportional to 451.29, 676.94 and 207.75

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Solution

The fourth proportional to 451.29, 676.94 and 207.75 is: 311.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.29 : 676.94 = 207.75 : x
  2. Step 2: Convert to fraction form
    451.29/676.94 = 207.75/x
  3. Step 3: Cross multiply
    451.29x = 676.94 × 207.75
  4. Step 4: Simplify right side
    451.29x = 140,633.25
  5. Step 5: Solve for x
    x = 140,633.25/451.29
  6. Step 6: Final answer
    x = 311.63

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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.