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Finding the Fourth Proportional to 578.20, 863.71 and 520.32

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Solution

The fourth proportional to 578.20, 863.71 and 520.32 is: 777.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.20 : 863.71 = 520.32 : x
  2. Step 2: Convert to fraction form
    578.20/863.71 = 520.32/x
  3. Step 3: Cross multiply
    578.20x = 863.71 × 520.32
  4. Step 4: Simplify right side
    578.20x = 449,405.59
  5. Step 5: Solve for x
    x = 449,405.59/578.20
  6. Step 6: Final answer
    x = 777.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.