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Finding the Fourth Proportional to 339.20, 464.08 and 337.76

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Solution

The fourth proportional to 339.20, 464.08 and 337.76 is: 462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.20 : 464.08 = 337.76 : x
  2. Step 2: Convert to fraction form
    339.20/464.08 = 337.76/x
  3. Step 3: Cross multiply
    339.20x = 464.08 × 337.76
  4. Step 4: Simplify right side
    339.20x = 156,747.66
  5. Step 5: Solve for x
    x = 156,747.66/339.20
  6. Step 6: Final answer
    x = 462.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.