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Finding the Fourth Proportional to 422.34, 632.97 and 406.14

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Solution

The fourth proportional to 422.34, 632.97 and 406.14 is: 608.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.34 : 632.97 = 406.14 : x
  2. Step 2: Convert to fraction form
    422.34/632.97 = 406.14/x
  3. Step 3: Cross multiply
    422.34x = 632.97 × 406.14
  4. Step 4: Simplify right side
    422.34x = 257,074.44
  5. Step 5: Solve for x
    x = 257,074.44/422.34
  6. Step 6: Final answer
    x = 608.69

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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.