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Finding the Fourth Proportional to 379.60, 569.32 and 122.96

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Solution

The fourth proportional to 379.60, 569.32 and 122.96 is: 184.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.60 : 569.32 = 122.96 : x
  2. Step 2: Convert to fraction form
    379.60/569.32 = 122.96/x
  3. Step 3: Cross multiply
    379.60x = 569.32 × 122.96
  4. Step 4: Simplify right side
    379.60x = 70,003.59
  5. Step 5: Solve for x
    x = 70,003.59/379.60
  6. Step 6: Final answer
    x = 184.41

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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.