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Finding the Fourth Proportional to 349.11, 523.02 and 311.43

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Solution

The fourth proportional to 349.11, 523.02 and 311.43 is: 466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.11 : 523.02 = 311.43 : x
  2. Step 2: Convert to fraction form
    349.11/523.02 = 311.43/x
  3. Step 3: Cross multiply
    349.11x = 523.02 × 311.43
  4. Step 4: Simplify right side
    349.11x = 162,884.12
  5. Step 5: Solve for x
    x = 162,884.12/349.11
  6. Step 6: Final answer
    x = 466.57

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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.