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Finding the Fourth Proportional to 408.13, 562.48 and 297.43

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Solution

The fourth proportional to 408.13, 562.48 and 297.43 is: 409.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.13 : 562.48 = 297.43 : x
  2. Step 2: Convert to fraction form
    408.13/562.48 = 297.43/x
  3. Step 3: Cross multiply
    408.13x = 562.48 × 297.43
  4. Step 4: Simplify right side
    408.13x = 167,298.43
  5. Step 5: Solve for x
    x = 167,298.43/408.13
  6. Step 6: Final answer
    x = 409.91

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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.