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Finding the Fourth Proportional to 408.81, 563.85 and 277.59

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Solution

The fourth proportional to 408.81, 563.85 and 277.59 is: 382.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.81 : 563.85 = 277.59 : x
  2. Step 2: Convert to fraction form
    408.81/563.85 = 277.59/x
  3. Step 3: Cross multiply
    408.81x = 563.85 × 277.59
  4. Step 4: Simplify right side
    408.81x = 156,519.12
  5. Step 5: Solve for x
    x = 156,519.12/408.81
  6. Step 6: Final answer
    x = 382.87

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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.