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Finding the Fourth Proportional to 579.60, 868.72 and 290.44

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Solution

The fourth proportional to 579.60, 868.72 and 290.44 is: 435.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.60 : 868.72 = 290.44 : x
  2. Step 2: Convert to fraction form
    579.60/868.72 = 290.44/x
  3. Step 3: Cross multiply
    579.60x = 868.72 × 290.44
  4. Step 4: Simplify right side
    579.60x = 252,311.04
  5. Step 5: Solve for x
    x = 252,311.04/579.60
  6. Step 6: Final answer
    x = 435.32

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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.