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Finding the Fourth Proportional to 579.26, 868.40 and 405.42

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Solution

The fourth proportional to 579.26, 868.40 and 405.42 is: 607.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.26 : 868.40 = 405.42 : x
  2. Step 2: Convert to fraction form
    579.26/868.40 = 405.42/x
  3. Step 3: Cross multiply
    579.26x = 868.40 × 405.42
  4. Step 4: Simplify right side
    579.26x = 352,066.73
  5. Step 5: Solve for x
    x = 352,066.73/579.26
  6. Step 6: Final answer
    x = 607.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.