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Finding the Fourth Proportional to 578.42, 863.07 and 523.70

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Solution

The fourth proportional to 578.42, 863.07 and 523.70 is: 781.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.42 : 863.07 = 523.70 : x
  2. Step 2: Convert to fraction form
    578.42/863.07 = 523.70/x
  3. Step 3: Cross multiply
    578.42x = 863.07 × 523.70
  4. Step 4: Simplify right side
    578.42x = 451,987.14
  5. Step 5: Solve for x
    x = 451,987.14/578.42
  6. Step 6: Final answer
    x = 781.42

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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.