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Finding the Fourth Proportional to 422.66, 635.42 and 332.43

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Solution

The fourth proportional to 422.66, 635.42 and 332.43 is: 499.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.66 : 635.42 = 332.43 : x
  2. Step 2: Convert to fraction form
    422.66/635.42 = 332.43/x
  3. Step 3: Cross multiply
    422.66x = 635.42 × 332.43
  4. Step 4: Simplify right side
    422.66x = 211,231.01
  5. Step 5: Solve for x
    x = 211,231.01/422.66
  6. Step 6: Final answer
    x = 499.77

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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.