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Finding the Fourth Proportional to 641.97, 886.88 and 421.45

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Solution

The fourth proportional to 641.97, 886.88 and 421.45 is: 582.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.97 : 886.88 = 421.45 : x
  2. Step 2: Convert to fraction form
    641.97/886.88 = 421.45/x
  3. Step 3: Cross multiply
    641.97x = 886.88 × 421.45
  4. Step 4: Simplify right side
    641.97x = 373,774.41
  5. Step 5: Solve for x
    x = 373,774.41/641.97
  6. Step 6: Final answer
    x = 582.23

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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.