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Finding the Fourth Proportional to 380.26, 571.47 and 226.23

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Solution

The fourth proportional to 380.26, 571.47 and 226.23 is: 339.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.26 : 571.47 = 226.23 : x
  2. Step 2: Convert to fraction form
    380.26/571.47 = 226.23/x
  3. Step 3: Cross multiply
    380.26x = 571.47 × 226.23
  4. Step 4: Simplify right side
    380.26x = 129,283.66
  5. Step 5: Solve for x
    x = 129,283.66/380.26
  6. Step 6: Final answer
    x = 339.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.