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Finding the Fourth Proportional to 442.23, 610.34 and 255.68

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Solution

The fourth proportional to 442.23, 610.34 and 255.68 is: 352.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.23 : 610.34 = 255.68 : x
  2. Step 2: Convert to fraction form
    442.23/610.34 = 255.68/x
  3. Step 3: Cross multiply
    442.23x = 610.34 × 255.68
  4. Step 4: Simplify right side
    442.23x = 156,051.73
  5. Step 5: Solve for x
    x = 156,051.73/442.23
  6. Step 6: Final answer
    x = 352.87

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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.