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Finding the Fourth Proportional to 576.69, 863.74 and 329.32

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Solution

The fourth proportional to 576.69, 863.74 and 329.32 is: 493.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.69 : 863.74 = 329.32 : x
  2. Step 2: Convert to fraction form
    576.69/863.74 = 329.32/x
  3. Step 3: Cross multiply
    576.69x = 863.74 × 329.32
  4. Step 4: Simplify right side
    576.69x = 284,446.86
  5. Step 5: Solve for x
    x = 284,446.86/576.69
  6. Step 6: Final answer
    x = 493.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.