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Finding the Fourth Proportional to 321.73, 481.75 and 295

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Solution

The fourth proportional to 321.73, 481.75 and 295 is: 441.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.73 : 481.75 = 295 : x
  2. Step 2: Convert to fraction form
    321.73/481.75 = 295/x
  3. Step 3: Cross multiply
    321.73x = 481.75 × 295
  4. Step 4: Simplify right side
    321.73x = 142,116.25
  5. Step 5: Solve for x
    x = 142,116.25/321.73
  6. Step 6: Final answer
    x = 441.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.