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Finding the Fourth Proportional to 557.46, 769.26 and 308.77

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Solution

The fourth proportional to 557.46, 769.26 and 308.77 is: 426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.46 : 769.26 = 308.77 : x
  2. Step 2: Convert to fraction form
    557.46/769.26 = 308.77/x
  3. Step 3: Cross multiply
    557.46x = 769.26 × 308.77
  4. Step 4: Simplify right side
    557.46x = 237,524.41
  5. Step 5: Solve for x
    x = 237,524.41/557.46
  6. Step 6: Final answer
    x = 426.08

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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.