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Finding the Fourth Proportional to 379.78, 569.61 and 123.28

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Solution

The fourth proportional to 379.78, 569.61 and 123.28 is: 184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.78 : 569.61 = 123.28 : x
  2. Step 2: Convert to fraction form
    379.78/569.61 = 123.28/x
  3. Step 3: Cross multiply
    379.78x = 569.61 × 123.28
  4. Step 4: Simplify right side
    379.78x = 70,221.52
  5. Step 5: Solve for x
    x = 70,221.52/379.78
  6. Step 6: Final answer
    x = 184.90

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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.