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Finding the Fourth Proportional to 422.52, 635.14 and 416.14

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Solution

The fourth proportional to 422.52, 635.14 and 416.14 is: 625.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.52 : 635.14 = 416.14 : x
  2. Step 2: Convert to fraction form
    422.52/635.14 = 416.14/x
  3. Step 3: Cross multiply
    422.52x = 635.14 × 416.14
  4. Step 4: Simplify right side
    422.52x = 264,306.09
  5. Step 5: Solve for x
    x = 264,306.09/422.52
  6. Step 6: Final answer
    x = 625.55

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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.