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Finding the Fourth Proportional to 512.97, 708.05 and 408.24

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Solution

The fourth proportional to 512.97, 708.05 and 408.24 is: 563.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.97 : 708.05 = 408.24 : x
  2. Step 2: Convert to fraction form
    512.97/708.05 = 408.24/x
  3. Step 3: Cross multiply
    512.97x = 708.05 × 408.24
  4. Step 4: Simplify right side
    512.97x = 289,052.29
  5. Step 5: Solve for x
    x = 289,052.29/512.97
  6. Step 6: Final answer
    x = 563.49

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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.