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Finding the Fourth Proportional to 379.48, 569.41 and 196.87

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Solution

The fourth proportional to 379.48, 569.41 and 196.87 is: 295.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.48 : 569.41 = 196.87 : x
  2. Step 2: Convert to fraction form
    379.48/569.41 = 196.87/x
  3. Step 3: Cross multiply
    379.48x = 569.41 × 196.87
  4. Step 4: Simplify right side
    379.48x = 112,099.75
  5. Step 5: Solve for x
    x = 112,099.75/379.48
  6. Step 6: Final answer
    x = 295.40

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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.