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Finding the Fourth Proportional to 334.33, 502.11 and 212.62

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Solution

The fourth proportional to 334.33, 502.11 and 212.62 is: 319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.33 : 502.11 = 212.62 : x
  2. Step 2: Convert to fraction form
    334.33/502.11 = 212.62/x
  3. Step 3: Cross multiply
    334.33x = 502.11 × 212.62
  4. Step 4: Simplify right side
    334.33x = 106,758.63
  5. Step 5: Solve for x
    x = 106,758.63/334.33
  6. Step 6: Final answer
    x = 319.32

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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.