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Finding the Fourth Proportional to 408.13, 562.46 and 290.11

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Solution

The fourth proportional to 408.13, 562.46 and 290.11 is: 399.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.13 : 562.46 = 290.11 : x
  2. Step 2: Convert to fraction form
    408.13/562.46 = 290.11/x
  3. Step 3: Cross multiply
    408.13x = 562.46 × 290.11
  4. Step 4: Simplify right side
    408.13x = 163,175.27
  5. Step 5: Solve for x
    x = 163,175.27/408.13
  6. Step 6: Final answer
    x = 399.81

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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.