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Finding the Fourth Proportional to 322.25, 444.71 and 205.81

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Solution

The fourth proportional to 322.25, 444.71 and 205.81 is: 284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.25 : 444.71 = 205.81 : x
  2. Step 2: Convert to fraction form
    322.25/444.71 = 205.81/x
  3. Step 3: Cross multiply
    322.25x = 444.71 × 205.81
  4. Step 4: Simplify right side
    322.25x = 91,525.77
  5. Step 5: Solve for x
    x = 91,525.77/322.25
  6. Step 6: Final answer
    x = 284.02

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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.