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Finding the Fourth Proportional to 422.17, 632.98 and 205.63

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Solution

The fourth proportional to 422.17, 632.98 and 205.63 is: 308.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.17 : 632.98 = 205.63 : x
  2. Step 2: Convert to fraction form
    422.17/632.98 = 205.63/x
  3. Step 3: Cross multiply
    422.17x = 632.98 × 205.63
  4. Step 4: Simplify right side
    422.17x = 130,159.68
  5. Step 5: Solve for x
    x = 130,159.68/422.17
  6. Step 6: Final answer
    x = 308.31

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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.