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Finding the Fourth Proportional to 422.26, 633.03 and 301.30

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Solution

The fourth proportional to 422.26, 633.03 and 301.30 is: 451.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.26 : 633.03 = 301.30 : x
  2. Step 2: Convert to fraction form
    422.26/633.03 = 301.30/x
  3. Step 3: Cross multiply
    422.26x = 633.03 × 301.30
  4. Step 4: Simplify right side
    422.26x = 190,731.94
  5. Step 5: Solve for x
    x = 190,731.94/422.26
  6. Step 6: Final answer
    x = 451.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.