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Finding the Fourth Proportional to 676.43, 1,014.64 and 311.17

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Solution

The fourth proportional to 676.43, 1,014.64 and 311.17 is: 466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.43 : 1,014.64 = 311.17 : x
  2. Step 2: Convert to fraction form
    676.43/1,014.64 = 311.17/x
  3. Step 3: Cross multiply
    676.43x = 1,014.64 × 311.17
  4. Step 4: Simplify right side
    676.43x = 315,725.53
  5. Step 5: Solve for x
    x = 315,725.53/676.43
  6. Step 6: Final answer
    x = 466.75

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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.