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Finding the Fourth Proportional to 408.10, 563.01 and 297.37

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Solution

The fourth proportional to 408.10, 563.01 and 297.37 is: 410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.10 : 563.01 = 297.37 : x
  2. Step 2: Convert to fraction form
    408.10/563.01 = 297.37/x
  3. Step 3: Cross multiply
    408.10x = 563.01 × 297.37
  4. Step 4: Simplify right side
    408.10x = 167,422.28
  5. Step 5: Solve for x
    x = 167,422.28/408.10
  6. Step 6: Final answer
    x = 410.25

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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.