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Finding the Fourth Proportional to 408.71, 564.11 and 290.85

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Solution

The fourth proportional to 408.71, 564.11 and 290.85 is: 401.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.71 : 564.11 = 290.85 : x
  2. Step 2: Convert to fraction form
    408.71/564.11 = 290.85/x
  3. Step 3: Cross multiply
    408.71x = 564.11 × 290.85
  4. Step 4: Simplify right side
    408.71x = 164,069.94
  5. Step 5: Solve for x
    x = 164,069.94/408.71
  6. Step 6: Final answer
    x = 401.44

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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.