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Finding the Fourth Proportional to 408.78, 563.76 and 359.37

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Solution

The fourth proportional to 408.78, 563.76 and 359.37 is: 495.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.78 : 563.76 = 359.37 : x
  2. Step 2: Convert to fraction form
    408.78/563.76 = 359.37/x
  3. Step 3: Cross multiply
    408.78x = 563.76 × 359.37
  4. Step 4: Simplify right side
    408.78x = 202,598.43
  5. Step 5: Solve for x
    x = 202,598.43/408.78
  6. Step 6: Final answer
    x = 495.62

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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.