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Finding the Fourth Proportional to 557.43, 769.26 and 308.73

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Solution

The fourth proportional to 557.43, 769.26 and 308.73 is: 426.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.43 : 769.26 = 308.73 : x
  2. Step 2: Convert to fraction form
    557.43/769.26 = 308.73/x
  3. Step 3: Cross multiply
    557.43x = 769.26 × 308.73
  4. Step 4: Simplify right side
    557.43x = 237,493.64
  5. Step 5: Solve for x
    x = 237,493.64/557.43
  6. Step 6: Final answer
    x = 426.05

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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.