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Finding the Fourth Proportional to 422.64, 582.57 and 282.48

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Solution

The fourth proportional to 422.64, 582.57 and 282.48 is: 389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.64 : 582.57 = 282.48 : x
  2. Step 2: Convert to fraction form
    422.64/582.57 = 282.48/x
  3. Step 3: Cross multiply
    422.64x = 582.57 × 282.48
  4. Step 4: Simplify right side
    422.64x = 164,564.37
  5. Step 5: Solve for x
    x = 164,564.37/422.64
  6. Step 6: Final answer
    x = 389.37

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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.