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Finding the Fourth Proportional to 442.25, 610.39 and 255.73

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Solution

The fourth proportional to 442.25, 610.39 and 255.73 is: 352.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.25 : 610.39 = 255.73 : x
  2. Step 2: Convert to fraction form
    442.25/610.39 = 255.73/x
  3. Step 3: Cross multiply
    442.25x = 610.39 × 255.73
  4. Step 4: Simplify right side
    442.25x = 156,094.97
  5. Step 5: Solve for x
    x = 156,094.97/442.25
  6. Step 6: Final answer
    x = 352.96

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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.