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Finding the Fourth Proportional to 578.63, 799.17 and 421.97

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Solution

The fourth proportional to 578.63, 799.17 and 421.97 is: 582.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.63 : 799.17 = 421.97 : x
  2. Step 2: Convert to fraction form
    578.63/799.17 = 421.97/x
  3. Step 3: Cross multiply
    578.63x = 799.17 × 421.97
  4. Step 4: Simplify right side
    578.63x = 337,221.77
  5. Step 5: Solve for x
    x = 337,221.77/578.63
  6. Step 6: Final answer
    x = 582.80

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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.