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Finding the Fourth Proportional to 380.51, 570.73 and 120.53

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Solution

The fourth proportional to 380.51, 570.73 and 120.53 is: 180.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.51 : 570.73 = 120.53 : x
  2. Step 2: Convert to fraction form
    380.51/570.73 = 120.53/x
  3. Step 3: Cross multiply
    380.51x = 570.73 × 120.53
  4. Step 4: Simplify right side
    380.51x = 68,790.09
  5. Step 5: Solve for x
    x = 68,790.09/380.51
  6. Step 6: Final answer
    x = 180.78

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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.