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Finding the Fourth Proportional to 380.33, 570.29 and 120.21

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Solution

The fourth proportional to 380.33, 570.29 and 120.21 is: 180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.33 : 570.29 = 120.21 : x
  2. Step 2: Convert to fraction form
    380.33/570.29 = 120.21/x
  3. Step 3: Cross multiply
    380.33x = 570.29 × 120.21
  4. Step 4: Simplify right side
    380.33x = 68,553.96
  5. Step 5: Solve for x
    x = 68,553.96/380.33
  6. Step 6: Final answer
    x = 180.25

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