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Finding the Fourth Proportional to 422.99, 635.64 and 395.31

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Solution

The fourth proportional to 422.99, 635.64 and 395.31 is: 594.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.99 : 635.64 = 395.31 : x
  2. Step 2: Convert to fraction form
    422.99/635.64 = 395.31/x
  3. Step 3: Cross multiply
    422.99x = 635.64 × 395.31
  4. Step 4: Simplify right side
    422.99x = 251,274.85
  5. Step 5: Solve for x
    x = 251,274.85/422.99
  6. Step 6: Final answer
    x = 594.04

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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.