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Finding the Fourth Proportional to 579.44, 869.16 and 394.64

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Solution

The fourth proportional to 579.44, 869.16 and 394.64 is: 591.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.44 : 869.16 = 394.64 : x
  2. Step 2: Convert to fraction form
    579.44/869.16 = 394.64/x
  3. Step 3: Cross multiply
    579.44x = 869.16 × 394.64
  4. Step 4: Simplify right side
    579.44x = 343,005.30
  5. Step 5: Solve for x
    x = 343,005.30/579.44
  6. Step 6: Final answer
    x = 591.96

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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.