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Finding the Fourth Proportional to 321.60, 481.48 and 298.82

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Solution

The fourth proportional to 321.60, 481.48 and 298.82 is: 447.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.60 : 481.48 = 298.82 : x
  2. Step 2: Convert to fraction form
    321.60/481.48 = 298.82/x
  3. Step 3: Cross multiply
    321.60x = 481.48 × 298.82
  4. Step 4: Simplify right side
    321.60x = 143,876.31
  5. Step 5: Solve for x
    x = 143,876.31/321.60
  6. Step 6: Final answer
    x = 447.37

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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.