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Finding the Fourth Proportional to 676.80, 1,014.76 and 214.42

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Solution

The fourth proportional to 676.80, 1,014.76 and 214.42 is: 321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.80 : 1,014.76 = 214.42 : x
  2. Step 2: Convert to fraction form
    676.80/1,014.76 = 214.42/x
  3. Step 3: Cross multiply
    676.80x = 1,014.76 × 214.42
  4. Step 4: Simplify right side
    676.80x = 217,584.84
  5. Step 5: Solve for x
    x = 217,584.84/676.80
  6. Step 6: Final answer
    x = 321.49

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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.