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Finding the Fourth Proportional to 442.92, 611.29 and 256.37

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Solution

The fourth proportional to 442.92, 611.29 and 256.37 is: 353.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.92 : 611.29 = 256.37 : x
  2. Step 2: Convert to fraction form
    442.92/611.29 = 256.37/x
  3. Step 3: Cross multiply
    442.92x = 611.29 × 256.37
  4. Step 4: Simplify right side
    442.92x = 156,716.42
  5. Step 5: Solve for x
    x = 156,716.42/442.92
  6. Step 6: Final answer
    x = 353.83

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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.