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Finding the Fourth Proportional to 451.97, 676.73 and 348.39

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Solution

The fourth proportional to 451.97, 676.73 and 348.39 is: 521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.97 : 676.73 = 348.39 : x
  2. Step 2: Convert to fraction form
    451.97/676.73 = 348.39/x
  3. Step 3: Cross multiply
    451.97x = 676.73 × 348.39
  4. Step 4: Simplify right side
    451.97x = 235,764.22
  5. Step 5: Solve for x
    x = 235,764.22/451.97
  6. Step 6: Final answer
    x = 521.64

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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.