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Finding the Fourth Proportional to 676.14, 1,014.56 and 311.02

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Solution

The fourth proportional to 676.14, 1,014.56 and 311.02 is: 466.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.14 : 1,014.56 = 311.02 : x
  2. Step 2: Convert to fraction form
    676.14/1,014.56 = 311.02/x
  3. Step 3: Cross multiply
    676.14x = 1,014.56 × 311.02
  4. Step 4: Simplify right side
    676.14x = 315,548.45
  5. Step 5: Solve for x
    x = 315,548.45/676.14
  6. Step 6: Final answer
    x = 466.69

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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.