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Finding the Fourth Proportional to 321.80, 443.58 and 263.48

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Solution

The fourth proportional to 321.80, 443.58 and 263.48 is: 363.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.80 : 443.58 = 263.48 : x
  2. Step 2: Convert to fraction form
    321.80/443.58 = 263.48/x
  3. Step 3: Cross multiply
    321.80x = 443.58 × 263.48
  4. Step 4: Simplify right side
    321.80x = 116,874.46
  5. Step 5: Solve for x
    x = 116,874.46/321.80
  6. Step 6: Final answer
    x = 363.19

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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.