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Finding the Fourth Proportional to 442.78, 611.05 and 256.27

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Solution

The fourth proportional to 442.78, 611.05 and 256.27 is: 353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.78 : 611.05 = 256.27 : x
  2. Step 2: Convert to fraction form
    442.78/611.05 = 256.27/x
  3. Step 3: Cross multiply
    442.78x = 611.05 × 256.27
  4. Step 4: Simplify right side
    442.78x = 156,593.78
  5. Step 5: Solve for x
    x = 156,593.78/442.78
  6. Step 6: Final answer
    x = 353.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.