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Finding the Fourth Proportional to 676.10, 1,014.14 and 213.86

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Solution

The fourth proportional to 676.10, 1,014.14 and 213.86 is: 320.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.10 : 1,014.14 = 213.86 : x
  2. Step 2: Convert to fraction form
    676.10/1,014.14 = 213.86/x
  3. Step 3: Cross multiply
    676.10x = 1,014.14 × 213.86
  4. Step 4: Simplify right side
    676.10x = 216,887.05
  5. Step 5: Solve for x
    x = 216,887.05/676.10
  6. Step 6: Final answer
    x = 320.79

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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.