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Finding the Fourth Proportional to 408.22, 563 and 329.52

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Solution

The fourth proportional to 408.22, 563 and 329.52 is: 454.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.22 : 563 = 329.52 : x
  2. Step 2: Convert to fraction form
    408.22/563 = 329.52/x
  3. Step 3: Cross multiply
    408.22x = 563 × 329.52
  4. Step 4: Simplify right side
    408.22x = 185,519.76
  5. Step 5: Solve for x
    x = 185,519.76/408.22
  6. Step 6: Final answer
    x = 454.46

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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.