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Finding the Fourth Proportional to 379.97, 569.44 and 276.77

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Solution

The fourth proportional to 379.97, 569.44 and 276.77 is: 414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.97 : 569.44 = 276.77 : x
  2. Step 2: Convert to fraction form
    379.97/569.44 = 276.77/x
  3. Step 3: Cross multiply
    379.97x = 569.44 × 276.77
  4. Step 4: Simplify right side
    379.97x = 157,603.91
  5. Step 5: Solve for x
    x = 157,603.91/379.97
  6. Step 6: Final answer
    x = 414.78

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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.