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Finding the Fourth Proportional to 379.92, 569.88 and 218.73

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Solution

The fourth proportional to 379.92, 569.88 and 218.73 is: 328.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.92 : 569.88 = 218.73 : x
  2. Step 2: Convert to fraction form
    379.92/569.88 = 218.73/x
  3. Step 3: Cross multiply
    379.92x = 569.88 × 218.73
  4. Step 4: Simplify right side
    379.92x = 124,649.85
  5. Step 5: Solve for x
    x = 124,649.85/379.92
  6. Step 6: Final answer
    x = 328.10

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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.