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Finding the Fourth Proportional to 380.37, 570.46 and 106.39

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Solution

The fourth proportional to 380.37, 570.46 and 106.39 is: 159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.37 : 570.46 = 106.39 : x
  2. Step 2: Convert to fraction form
    380.37/570.46 = 106.39/x
  3. Step 3: Cross multiply
    380.37x = 570.46 × 106.39
  4. Step 4: Simplify right side
    380.37x = 60,691.24
  5. Step 5: Solve for x
    x = 60,691.24/380.37
  6. Step 6: Final answer
    x = 159.56

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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.