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Finding the Fourth Proportional to 380.31, 570.52 and 120.27

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Solution

The fourth proportional to 380.31, 570.52 and 120.27 is: 180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.31 : 570.52 = 120.27 : x
  2. Step 2: Convert to fraction form
    380.31/570.52 = 120.27/x
  3. Step 3: Cross multiply
    380.31x = 570.52 × 120.27
  4. Step 4: Simplify right side
    380.31x = 68,613.98
  5. Step 5: Solve for x
    x = 68,613.98/380.31
  6. Step 6: Final answer
    x = 180.41

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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.