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Finding the Fourth Proportional to 322.79, 484.19 and 213.31

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Solution

The fourth proportional to 322.79, 484.19 and 213.31 is: 319.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.79 : 484.19 = 213.31 : x
  2. Step 2: Convert to fraction form
    322.79/484.19 = 213.31/x
  3. Step 3: Cross multiply
    322.79x = 484.19 × 213.31
  4. Step 4: Simplify right side
    322.79x = 103,282.57
  5. Step 5: Solve for x
    x = 103,282.57/322.79
  6. Step 6: Final answer
    x = 319.97

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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.