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Finding the Fourth Proportional to 676.25, 1,014.49 and 311.03

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Solution

The fourth proportional to 676.25, 1,014.49 and 311.03 is: 466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.25 : 1,014.49 = 311.03 : x
  2. Step 2: Convert to fraction form
    676.25/1,014.49 = 311.03/x
  3. Step 3: Cross multiply
    676.25x = 1,014.49 × 311.03
  4. Step 4: Simplify right side
    676.25x = 315,533.21
  5. Step 5: Solve for x
    x = 315,533.21/676.25
  6. Step 6: Final answer
    x = 466.59

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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.