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Finding the Fourth Proportional to 310.87, 429.33 and 211.73

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Solution

The fourth proportional to 310.87, 429.33 and 211.73 is: 292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.87 : 429.33 = 211.73 : x
  2. Step 2: Convert to fraction form
    310.87/429.33 = 211.73/x
  3. Step 3: Cross multiply
    310.87x = 429.33 × 211.73
  4. Step 4: Simplify right side
    310.87x = 90,902.04
  5. Step 5: Solve for x
    x = 90,902.04/310.87
  6. Step 6: Final answer
    x = 292.41

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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.