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Finding the Fourth Proportional to 578.25, 863.68 and 523.32

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Solution

The fourth proportional to 578.25, 863.68 and 523.32 is: 781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.25 : 863.68 = 523.32 : x
  2. Step 2: Convert to fraction form
    578.25/863.68 = 523.32/x
  3. Step 3: Cross multiply
    578.25x = 863.68 × 523.32
  4. Step 4: Simplify right side
    578.25x = 451,981.67
  5. Step 5: Solve for x
    x = 451,981.67/578.25
  6. Step 6: Final answer
    x = 781.64

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Why These Related Problems?

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