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Finding the Fourth Proportional to 348.20, 521.85 and 311.43

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Solution

The fourth proportional to 348.20, 521.85 and 311.43 is: 466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.20 : 521.85 = 311.43 : x
  2. Step 2: Convert to fraction form
    348.20/521.85 = 311.43/x
  3. Step 3: Cross multiply
    348.20x = 521.85 × 311.43
  4. Step 4: Simplify right side
    348.20x = 162,519.75
  5. Step 5: Solve for x
    x = 162,519.75/348.20
  6. Step 6: Final answer
    x = 466.74

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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.