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Finding the Fourth Proportional to 442.73, 610.94 and 256.26

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Solution

The fourth proportional to 442.73, 610.94 and 256.26 is: 353.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.73 : 610.94 = 256.26 : x
  2. Step 2: Convert to fraction form
    442.73/610.94 = 256.26/x
  3. Step 3: Cross multiply
    442.73x = 610.94 × 256.26
  4. Step 4: Simplify right side
    442.73x = 156,562.42
  5. Step 5: Solve for x
    x = 156,562.42/442.73
  6. Step 6: Final answer
    x = 353.63

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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.