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Finding the Fourth Proportional to 380.30, 570.76 and 197.75

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Solution

The fourth proportional to 380.30, 570.76 and 197.75 is: 296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.30 : 570.76 = 197.75 : x
  2. Step 2: Convert to fraction form
    380.30/570.76 = 197.75/x
  3. Step 3: Cross multiply
    380.30x = 570.76 × 197.75
  4. Step 4: Simplify right side
    380.30x = 112,863.95
  5. Step 5: Solve for x
    x = 112,863.95/380.30
  6. Step 6: Final answer
    x = 296.78

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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.