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Finding the Fourth Proportional to 349.35, 523.26 and 202.94

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Solution

The fourth proportional to 349.35, 523.26 and 202.94 is: 303.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.35 : 523.26 = 202.94 : x
  2. Step 2: Convert to fraction form
    349.35/523.26 = 202.94/x
  3. Step 3: Cross multiply
    349.35x = 523.26 × 202.94
  4. Step 4: Simplify right side
    349.35x = 106,189.73
  5. Step 5: Solve for x
    x = 106,189.73/349.35
  6. Step 6: Final answer
    x = 303.97

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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.