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Finding the Fourth Proportional to 422.14, 582.44 and 256.35

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Solution

The fourth proportional to 422.14, 582.44 and 256.35 is: 353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.14 : 582.44 = 256.35 : x
  2. Step 2: Convert to fraction form
    422.14/582.44 = 256.35/x
  3. Step 3: Cross multiply
    422.14x = 582.44 × 256.35
  4. Step 4: Simplify right side
    422.14x = 149,310.02
  5. Step 5: Solve for x
    x = 149,310.02/422.14
  6. Step 6: Final answer
    x = 353.70

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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.