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Finding the Fourth Proportional to 408.06, 563.37 and 310.25

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Solution

The fourth proportional to 408.06, 563.37 and 310.25 is: 428.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.06 : 563.37 = 310.25 : x
  2. Step 2: Convert to fraction form
    408.06/563.37 = 310.25/x
  3. Step 3: Cross multiply
    408.06x = 563.37 × 310.25
  4. Step 4: Simplify right side
    408.06x = 174,785.54
  5. Step 5: Solve for x
    x = 174,785.54/408.06
  6. Step 6: Final answer
    x = 428.33

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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.