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Finding the Fourth Proportional to 380.39, 571.65 and 226.34

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Solution

The fourth proportional to 380.39, 571.65 and 226.34 is: 340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.39 : 571.65 = 226.34 : x
  2. Step 2: Convert to fraction form
    380.39/571.65 = 226.34/x
  3. Step 3: Cross multiply
    380.39x = 571.65 × 226.34
  4. Step 4: Simplify right side
    380.39x = 129,385.70
  5. Step 5: Solve for x
    x = 129,385.70/380.39
  6. Step 6: Final answer
    x = 340.14

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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.