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Finding the Fourth Proportional to 481.52, 664.11 and 442.29

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Solution

The fourth proportional to 481.52, 664.11 and 442.29 is: 610.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.52 : 664.11 = 442.29 : x
  2. Step 2: Convert to fraction form
    481.52/664.11 = 442.29/x
  3. Step 3: Cross multiply
    481.52x = 664.11 × 442.29
  4. Step 4: Simplify right side
    481.52x = 293,729.21
  5. Step 5: Solve for x
    x = 293,729.21/481.52
  6. Step 6: Final answer
    x = 610.01

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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.