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Finding the Fourth Proportional to 422.01, 582.21 and 282.24

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Solution

The fourth proportional to 422.01, 582.21 and 282.24 is: 389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.01 : 582.21 = 282.24 : x
  2. Step 2: Convert to fraction form
    422.01/582.21 = 282.24/x
  3. Step 3: Cross multiply
    422.01x = 582.21 × 282.24
  4. Step 4: Simplify right side
    422.01x = 164,322.95
  5. Step 5: Solve for x
    x = 164,322.95/422.01
  6. Step 6: Final answer
    x = 389.38

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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.