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Finding the Fourth Proportional to 523.08, 721.92 and 376.20

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Solution

The fourth proportional to 523.08, 721.92 and 376.20 is: 519.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.08 : 721.92 = 376.20 : x
  2. Step 2: Convert to fraction form
    523.08/721.92 = 376.20/x
  3. Step 3: Cross multiply
    523.08x = 721.92 × 376.20
  4. Step 4: Simplify right side
    523.08x = 271,586.30
  5. Step 5: Solve for x
    x = 271,586.30/523.08
  6. Step 6: Final answer
    x = 519.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.