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Finding the Fourth Proportional to 676.03, 1,014.14 and 310.85

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Solution

The fourth proportional to 676.03, 1,014.14 and 310.85 is: 466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.03 : 1,014.14 = 310.85 : x
  2. Step 2: Convert to fraction form
    676.03/1,014.14 = 310.85/x
  3. Step 3: Cross multiply
    676.03x = 1,014.14 × 310.85
  4. Step 4: Simplify right side
    676.03x = 315,248.73
  5. Step 5: Solve for x
    x = 315,248.73/676.03
  6. Step 6: Final answer
    x = 466.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.