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Finding the Fourth Proportional to 380.73, 570.19 and 226.53

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Solution

The fourth proportional to 380.73, 570.19 and 226.53 is: 339.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.73 : 570.19 = 226.53 : x
  2. Step 2: Convert to fraction form
    380.73/570.19 = 226.53/x
  3. Step 3: Cross multiply
    380.73x = 570.19 × 226.53
  4. Step 4: Simplify right side
    380.73x = 129,165.14
  5. Step 5: Solve for x
    x = 129,165.14/380.73
  6. Step 6: Final answer
    x = 339.26

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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.