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Finding the Fourth Proportional to 284.31, 426.67 and 212.36

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Solution

The fourth proportional to 284.31, 426.67 and 212.36 is: 318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.31 : 426.67 = 212.36 : x
  2. Step 2: Convert to fraction form
    284.31/426.67 = 212.36/x
  3. Step 3: Cross multiply
    284.31x = 426.67 × 212.36
  4. Step 4: Simplify right side
    284.31x = 90,604.98
  5. Step 5: Solve for x
    x = 90,604.98/284.31
  6. Step 6: Final answer
    x = 318.68

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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.