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Finding the Fourth Proportional to 422.44, 632.10 and 257.28

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Solution

The fourth proportional to 422.44, 632.10 and 257.28 is: 384.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.44 : 632.10 = 257.28 : x
  2. Step 2: Convert to fraction form
    422.44/632.10 = 257.28/x
  3. Step 3: Cross multiply
    422.44x = 632.10 × 257.28
  4. Step 4: Simplify right side
    422.44x = 162,626.69
  5. Step 5: Solve for x
    x = 162,626.69/422.44
  6. Step 6: Final answer
    x = 384.97

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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.