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Finding the Fourth Proportional to 335.23, 502.62 and 213.37

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Solution

The fourth proportional to 335.23, 502.62 and 213.37 is: 319.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.23 : 502.62 = 213.37 : x
  2. Step 2: Convert to fraction form
    335.23/502.62 = 213.37/x
  3. Step 3: Cross multiply
    335.23x = 502.62 × 213.37
  4. Step 4: Simplify right side
    335.23x = 107,244.03
  5. Step 5: Solve for x
    x = 107,244.03/335.23
  6. Step 6: Final answer
    x = 319.91

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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.