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Finding the Fourth Proportional to 321.45, 443.64 and 203.49

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Solution

The fourth proportional to 321.45, 443.64 and 203.49 is: 280.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.45 : 443.64 = 203.49 : x
  2. Step 2: Convert to fraction form
    321.45/443.64 = 203.49/x
  3. Step 3: Cross multiply
    321.45x = 443.64 × 203.49
  4. Step 4: Simplify right side
    321.45x = 90,276.30
  5. Step 5: Solve for x
    x = 90,276.30/321.45
  6. Step 6: Final answer
    x = 280.84

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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.