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Finding the Fourth Proportional to 322, 444.50 and 205.63

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Solution

The fourth proportional to 322, 444.50 and 205.63 is: 283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    322 : 444.50 = 205.63 : x
  2. Step 2: Convert to fraction form
    322/444.50 = 205.63/x
  3. Step 3: Cross multiply
    322x = 444.50 × 205.63
  4. Step 4: Simplify right side
    322x = 91,402.54
  5. Step 5: Solve for x
    x = 91,402.54/322
  6. Step 6: Final answer
    x = 283.86

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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.