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Finding the Fourth Proportional to 379.57, 569.17 and 184.59

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Solution

The fourth proportional to 379.57, 569.17 and 184.59 is: 276.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.57 : 569.17 = 184.59 : x
  2. Step 2: Convert to fraction form
    379.57/569.17 = 184.59/x
  3. Step 3: Cross multiply
    379.57x = 569.17 × 184.59
  4. Step 4: Simplify right side
    379.57x = 105,060.39
  5. Step 5: Solve for x
    x = 105,060.39/379.57
  6. Step 6: Final answer
    x = 276.79

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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.