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Finding the Fourth Proportional to 300.62, 415.04 and 212.33

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Solution

The fourth proportional to 300.62, 415.04 and 212.33 is: 293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.62 : 415.04 = 212.33 : x
  2. Step 2: Convert to fraction form
    300.62/415.04 = 212.33/x
  3. Step 3: Cross multiply
    300.62x = 415.04 × 212.33
  4. Step 4: Simplify right side
    300.62x = 88,122.31
  5. Step 5: Solve for x
    x = 88,122.31/300.62
  6. Step 6: Final answer
    x = 293.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.