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Finding the Fourth Proportional to 380.77, 570.87 and 195.73

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Solution

The fourth proportional to 380.77, 570.87 and 195.73 is: 293.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.77 : 570.87 = 195.73 : x
  2. Step 2: Convert to fraction form
    380.77/570.87 = 195.73/x
  3. Step 3: Cross multiply
    380.77x = 570.87 × 195.73
  4. Step 4: Simplify right side
    380.77x = 111,734.96
  5. Step 5: Solve for x
    x = 111,734.96/380.77
  6. Step 6: Final answer
    x = 293.45

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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.