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Finding the Fourth Proportional to 297.36, 409.70 and 213.26

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Solution

The fourth proportional to 297.36, 409.70 and 213.26 is: 293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.36 : 409.70 = 213.26 : x
  2. Step 2: Convert to fraction form
    297.36/409.70 = 213.26/x
  3. Step 3: Cross multiply
    297.36x = 409.70 × 213.26
  4. Step 4: Simplify right side
    297.36x = 87,372.62
  5. Step 5: Solve for x
    x = 87,372.62/297.36
  6. Step 6: Final answer
    x = 293.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.