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Finding the Fourth Proportional to 451.46, 676.93 and 207.75

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Solution

The fourth proportional to 451.46, 676.93 and 207.75 is: 311.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.46 : 676.93 = 207.75 : x
  2. Step 2: Convert to fraction form
    451.46/676.93 = 207.75/x
  3. Step 3: Cross multiply
    451.46x = 676.93 × 207.75
  4. Step 4: Simplify right side
    451.46x = 140,631.39
  5. Step 5: Solve for x
    x = 140,631.39/451.46
  6. Step 6: Final answer
    x = 311.51

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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.