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Finding the Fourth Proportional to 322.41, 444.74 and 205.98

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Solution

The fourth proportional to 322.41, 444.74 and 205.98 is: 284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.41 : 444.74 = 205.98 : x
  2. Step 2: Convert to fraction form
    322.41/444.74 = 205.98/x
  3. Step 3: Cross multiply
    322.41x = 444.74 × 205.98
  4. Step 4: Simplify right side
    322.41x = 91,606.01
  5. Step 5: Solve for x
    x = 91,606.01/322.41
  6. Step 6: Final answer
    x = 284.13

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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.