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Finding the Fourth Proportional to 862.20, 1,293.31 and 212.94

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Solution

The fourth proportional to 862.20, 1,293.31 and 212.94 is: 319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.20 : 1,293.31 = 212.94 : x
  2. Step 2: Convert to fraction form
    862.20/1,293.31 = 212.94/x
  3. Step 3: Cross multiply
    862.20x = 1,293.31 × 212.94
  4. Step 4: Simplify right side
    862.20x = 275,392.05
  5. Step 5: Solve for x
    x = 275,392.05/862.20
  6. Step 6: Final answer
    x = 319.40

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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.