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Finding the Fourth Proportional to 380.74, 570.43 and 137.11

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Solution

The fourth proportional to 380.74, 570.43 and 137.11 is: 205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.74 : 570.43 = 137.11 : x
  2. Step 2: Convert to fraction form
    380.74/570.43 = 137.11/x
  3. Step 3: Cross multiply
    380.74x = 570.43 × 137.11
  4. Step 4: Simplify right side
    380.74x = 78,211.66
  5. Step 5: Solve for x
    x = 78,211.66/380.74
  6. Step 6: Final answer
    x = 205.42

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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.