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Finding the Fourth Proportional to 408.94, 563.86 and 385.09

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Solution

The fourth proportional to 408.94, 563.86 and 385.09 is: 530.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.94 : 563.86 = 385.09 : x
  2. Step 2: Convert to fraction form
    408.94/563.86 = 385.09/x
  3. Step 3: Cross multiply
    408.94x = 563.86 × 385.09
  4. Step 4: Simplify right side
    408.94x = 217,136.85
  5. Step 5: Solve for x
    x = 217,136.85/408.94
  6. Step 6: Final answer
    x = 530.97

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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.