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Finding the Fourth Proportional to 422.32, 582.49 and 282.39

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Solution

The fourth proportional to 422.32, 582.49 and 282.39 is: 389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.32 : 582.49 = 282.39 : x
  2. Step 2: Convert to fraction form
    422.32/582.49 = 282.39/x
  3. Step 3: Cross multiply
    422.32x = 582.49 × 282.39
  4. Step 4: Simplify right side
    422.32x = 164,487.94
  5. Step 5: Solve for x
    x = 164,487.94/422.32
  6. Step 6: Final answer
    x = 389.49

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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.