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Finding the Fourth Proportional to 641.97, 886.89 and 421.44

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Solution

The fourth proportional to 641.97, 886.89 and 421.44 is: 582.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.97 : 886.89 = 421.44 : x
  2. Step 2: Convert to fraction form
    641.97/886.89 = 421.44/x
  3. Step 3: Cross multiply
    641.97x = 886.89 × 421.44
  4. Step 4: Simplify right side
    641.97x = 373,770.92
  5. Step 5: Solve for x
    x = 373,770.92/641.97
  6. Step 6: Final answer
    x = 582.22

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