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Finding the Fourth Proportional to 379.78, 570.02 and 197.30

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Solution

The fourth proportional to 379.78, 570.02 and 197.30 is: 296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.78 : 570.02 = 197.30 : x
  2. Step 2: Convert to fraction form
    379.78/570.02 = 197.30/x
  3. Step 3: Cross multiply
    379.78x = 570.02 × 197.30
  4. Step 4: Simplify right side
    379.78x = 112,464.95
  5. Step 5: Solve for x
    x = 112,464.95/379.78
  6. Step 6: Final answer
    x = 296.13

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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.