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Finding the Fourth Proportional to 380.34, 570.45 and 106.44

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Solution

The fourth proportional to 380.34, 570.45 and 106.44 is: 159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.34 : 570.45 = 106.44 : x
  2. Step 2: Convert to fraction form
    380.34/570.45 = 106.44/x
  3. Step 3: Cross multiply
    380.34x = 570.45 × 106.44
  4. Step 4: Simplify right side
    380.34x = 60,716.96
  5. Step 5: Solve for x
    x = 60,716.96/380.34
  6. Step 6: Final answer
    x = 159.64

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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.