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Finding the Fourth Proportional to 676.96, 1,015.39 and 214.73

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Solution

The fourth proportional to 676.96, 1,015.39 and 214.73 is: 322.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.96 : 1,015.39 = 214.73 : x
  2. Step 2: Convert to fraction form
    676.96/1,015.39 = 214.73/x
  3. Step 3: Cross multiply
    676.96x = 1,015.39 × 214.73
  4. Step 4: Simplify right side
    676.96x = 218,034.69
  5. Step 5: Solve for x
    x = 218,034.69/676.96
  6. Step 6: Final answer
    x = 322.08

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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.