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Finding the Fourth Proportional to 422.37, 632.49 and 353.73

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Solution

The fourth proportional to 422.37, 632.49 and 353.73 is: 529.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.37 : 632.49 = 353.73 : x
  2. Step 2: Convert to fraction form
    422.37/632.49 = 353.73/x
  3. Step 3: Cross multiply
    422.37x = 632.49 × 353.73
  4. Step 4: Simplify right side
    422.37x = 223,730.69
  5. Step 5: Solve for x
    x = 223,730.69/422.37
  6. Step 6: Final answer
    x = 529.70

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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.