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Finding the Fourth Proportional to 451.14, 676.65 and 207.66

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Solution

The fourth proportional to 451.14, 676.65 and 207.66 is: 311.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.14 : 676.65 = 207.66 : x
  2. Step 2: Convert to fraction form
    451.14/676.65 = 207.66/x
  3. Step 3: Cross multiply
    451.14x = 676.65 × 207.66
  4. Step 4: Simplify right side
    451.14x = 140,513.14
  5. Step 5: Solve for x
    x = 140,513.14/451.14
  6. Step 6: Final answer
    x = 311.46

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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.