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Finding the Fourth Proportional to 676.29, 1,014.75 and 214.14

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Solution

The fourth proportional to 676.29, 1,014.75 and 214.14 is: 321.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.29 : 1,014.75 = 214.14 : x
  2. Step 2: Convert to fraction form
    676.29/1,014.75 = 214.14/x
  3. Step 3: Cross multiply
    676.29x = 1,014.75 × 214.14
  4. Step 4: Simplify right side
    676.29x = 217,298.57
  5. Step 5: Solve for x
    x = 217,298.57/676.29
  6. Step 6: Final answer
    x = 321.31

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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.