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Finding the Fourth Proportional to 463.90, 641.42 and 422.48

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Solution

The fourth proportional to 463.90, 641.42 and 422.48 is: 584.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.90 : 641.42 = 422.48 : x
  2. Step 2: Convert to fraction form
    463.90/641.42 = 422.48/x
  3. Step 3: Cross multiply
    463.90x = 641.42 × 422.48
  4. Step 4: Simplify right side
    463.90x = 270,987.12
  5. Step 5: Solve for x
    x = 270,987.12/463.90
  6. Step 6: Final answer
    x = 584.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.