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Finding the Fourth Proportional to 481.76, 664.64 and 326.64

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Solution

The fourth proportional to 481.76, 664.64 and 326.64 is: 450.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.76 : 664.64 = 326.64 : x
  2. Step 2: Convert to fraction form
    481.76/664.64 = 326.64/x
  3. Step 3: Cross multiply
    481.76x = 664.64 × 326.64
  4. Step 4: Simplify right side
    481.76x = 217,098.01
  5. Step 5: Solve for x
    x = 217,098.01/481.76
  6. Step 6: Final answer
    x = 450.64

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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.