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Finding the Fourth Proportional to 379.46, 569.39 and 197.01

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Solution

The fourth proportional to 379.46, 569.39 and 197.01 is: 295.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.46 : 569.39 = 197.01 : x
  2. Step 2: Convert to fraction form
    379.46/569.39 = 197.01/x
  3. Step 3: Cross multiply
    379.46x = 569.39 × 197.01
  4. Step 4: Simplify right side
    379.46x = 112,175.52
  5. Step 5: Solve for x
    x = 112,175.52/379.46
  6. Step 6: Final answer
    x = 295.62

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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.