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Finding the Fourth Proportional to 422.73, 583.29 and 256.96

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Solution

The fourth proportional to 422.73, 583.29 and 256.96 is: 354.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.73 : 583.29 = 256.96 : x
  2. Step 2: Convert to fraction form
    422.73/583.29 = 256.96/x
  3. Step 3: Cross multiply
    422.73x = 583.29 × 256.96
  4. Step 4: Simplify right side
    422.73x = 149,882.20
  5. Step 5: Solve for x
    x = 149,882.20/422.73
  6. Step 6: Final answer
    x = 354.56

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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.