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Finding the Fourth Proportional to 335.21, 502.00 and 213.30

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Solution

The fourth proportional to 335.21, 502.00 and 213.30 is: 319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.21 : 502.00 = 213.30 : x
  2. Step 2: Convert to fraction form
    335.21/502.00 = 213.30/x
  3. Step 3: Cross multiply
    335.21x = 502.00 × 213.30
  4. Step 4: Simplify right side
    335.21x = 107,076.07
  5. Step 5: Solve for x
    x = 107,076.07/335.21
  6. Step 6: Final answer
    x = 319.43

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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.