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Finding the Fourth Proportional to 422.20, 632.44 and 407.24

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Solution

The fourth proportional to 422.20, 632.44 and 407.24 is: 610.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.20 : 632.44 = 407.24 : x
  2. Step 2: Convert to fraction form
    422.20/632.44 = 407.24/x
  3. Step 3: Cross multiply
    422.20x = 632.44 × 407.24
  4. Step 4: Simplify right side
    422.20x = 257,554.87
  5. Step 5: Solve for x
    x = 257,554.87/422.20
  6. Step 6: Final answer
    x = 610.03

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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.