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Finding the Fourth Proportional to 557.44, 769.26 and 308.74

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Solution

The fourth proportional to 557.44, 769.26 and 308.74 is: 426.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.44 : 769.26 = 308.74 : x
  2. Step 2: Convert to fraction form
    557.44/769.26 = 308.74/x
  3. Step 3: Cross multiply
    557.44x = 769.26 × 308.74
  4. Step 4: Simplify right side
    557.44x = 237,501.33
  5. Step 5: Solve for x
    x = 237,501.33/557.44
  6. Step 6: Final answer
    x = 426.06

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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.