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Finding the Fourth Proportional to 321.85, 444.04 and 205.48

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Solution

The fourth proportional to 321.85, 444.04 and 205.48 is: 283.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.85 : 444.04 = 205.48 : x
  2. Step 2: Convert to fraction form
    321.85/444.04 = 205.48/x
  3. Step 3: Cross multiply
    321.85x = 444.04 × 205.48
  4. Step 4: Simplify right side
    321.85x = 91,241.34
  5. Step 5: Solve for x
    x = 91,241.34/321.85
  6. Step 6: Final answer
    x = 283.49

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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.