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Finding the Fourth Proportional to 408.34, 563.34 and 297.57

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Solution

The fourth proportional to 408.34, 563.34 and 297.57 is: 410.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.34 : 563.34 = 297.57 : x
  2. Step 2: Convert to fraction form
    408.34/563.34 = 297.57/x
  3. Step 3: Cross multiply
    408.34x = 563.34 × 297.57
  4. Step 4: Simplify right side
    408.34x = 167,633.08
  5. Step 5: Solve for x
    x = 167,633.08/408.34
  6. Step 6: Final answer
    x = 410.52

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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.