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Finding the Fourth Proportional to 379.88, 569.84 and 217.60

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Solution

The fourth proportional to 379.88, 569.84 and 217.60 is: 326.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.88 : 569.84 = 217.60 : x
  2. Step 2: Convert to fraction form
    379.88/569.84 = 217.60/x
  3. Step 3: Cross multiply
    379.88x = 569.84 × 217.60
  4. Step 4: Simplify right side
    379.88x = 123,997.18
  5. Step 5: Solve for x
    x = 123,997.18/379.88
  6. Step 6: Final answer
    x = 326.41

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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.