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Finding the Fourth Proportional to 557.57, 769.50 and 308.97

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Solution

The fourth proportional to 557.57, 769.50 and 308.97 is: 426.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.57 : 769.50 = 308.97 : x
  2. Step 2: Convert to fraction form
    557.57/769.50 = 308.97/x
  3. Step 3: Cross multiply
    557.57x = 769.50 × 308.97
  4. Step 4: Simplify right side
    557.57x = 237,752.42
  5. Step 5: Solve for x
    x = 237,752.42/557.57
  6. Step 6: Final answer
    x = 426.41

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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.