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Finding the Fourth Proportional to 422.25, 582.75 and 256.46

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Solution

The fourth proportional to 422.25, 582.75 and 256.46 is: 353.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.25 : 582.75 = 256.46 : x
  2. Step 2: Convert to fraction form
    422.25/582.75 = 256.46/x
  3. Step 3: Cross multiply
    422.25x = 582.75 × 256.46
  4. Step 4: Simplify right side
    422.25x = 149,452.07
  5. Step 5: Solve for x
    x = 149,452.07/422.25
  6. Step 6: Final answer
    x = 353.94

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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.