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Finding the Fourth Proportional to 557.53, 769.41 and 308.83

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Solution

The fourth proportional to 557.53, 769.41 and 308.83 is: 426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.53 : 769.41 = 308.83 : x
  2. Step 2: Convert to fraction form
    557.53/769.41 = 308.83/x
  3. Step 3: Cross multiply
    557.53x = 769.41 × 308.83
  4. Step 4: Simplify right side
    557.53x = 237,616.89
  5. Step 5: Solve for x
    x = 237,616.89/557.53
  6. Step 6: Final answer
    x = 426.20

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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.