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Finding the Fourth Proportional to 380.40, 570.61 and 120.37

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Solution

The fourth proportional to 380.40, 570.61 and 120.37 is: 180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.40 : 570.61 = 120.37 : x
  2. Step 2: Convert to fraction form
    380.40/570.61 = 120.37/x
  3. Step 3: Cross multiply
    380.40x = 570.61 × 120.37
  4. Step 4: Simplify right side
    380.40x = 68,684.33
  5. Step 5: Solve for x
    x = 68,684.33/380.40
  6. Step 6: Final answer
    x = 180.56

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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.