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Finding the Fourth Proportional to 335.39, 502.88 and 213.80

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Solution

The fourth proportional to 335.39, 502.88 and 213.80 is: 320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.39 : 502.88 = 213.80 : x
  2. Step 2: Convert to fraction form
    335.39/502.88 = 213.80/x
  3. Step 3: Cross multiply
    335.39x = 502.88 × 213.80
  4. Step 4: Simplify right side
    335.39x = 107,512.16
  5. Step 5: Solve for x
    x = 107,512.16/335.39
  6. Step 6: Final answer
    x = 320.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.