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Finding the Fourth Proportional to 305.89, 422.14 and 217.46

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Solution

The fourth proportional to 305.89, 422.14 and 217.46 is: 300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.89 : 422.14 = 217.46 : x
  2. Step 2: Convert to fraction form
    305.89/422.14 = 217.46/x
  3. Step 3: Cross multiply
    305.89x = 422.14 × 217.46
  4. Step 4: Simplify right side
    305.89x = 91,799.08
  5. Step 5: Solve for x
    x = 91,799.08/305.89
  6. Step 6: Final answer
    x = 300.11

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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.