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Finding the Fourth Proportional to 422.24, 582.68 and 282.56

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Solution

The fourth proportional to 422.24, 582.68 and 282.56 is: 389.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.24 : 582.68 = 282.56 : x
  2. Step 2: Convert to fraction form
    422.24/582.68 = 282.56/x
  3. Step 3: Cross multiply
    422.24x = 582.68 × 282.56
  4. Step 4: Simplify right side
    422.24x = 164,639.85
  5. Step 5: Solve for x
    x = 164,639.85/422.24
  6. Step 6: Final answer
    x = 389.92

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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.