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Finding the Fourth Proportional to 408.52, 563.16 and 334.72

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Solution

The fourth proportional to 408.52, 563.16 and 334.72 is: 461.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.52 : 563.16 = 334.72 : x
  2. Step 2: Convert to fraction form
    408.52/563.16 = 334.72/x
  3. Step 3: Cross multiply
    408.52x = 563.16 × 334.72
  4. Step 4: Simplify right side
    408.52x = 188,500.92
  5. Step 5: Solve for x
    x = 188,500.92/408.52
  6. Step 6: Final answer
    x = 461.42

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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.