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Finding the Fourth Proportional to 322.44, 444.97 and 206.07

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Solution

The fourth proportional to 322.44, 444.97 and 206.07 is: 284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.44 : 444.97 = 206.07 : x
  2. Step 2: Convert to fraction form
    322.44/444.97 = 206.07/x
  3. Step 3: Cross multiply
    322.44x = 444.97 × 206.07
  4. Step 4: Simplify right side
    322.44x = 91,693.94
  5. Step 5: Solve for x
    x = 91,693.94/322.44
  6. Step 6: Final answer
    x = 284.38

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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.