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Finding the Fourth Proportional to 379.74, 569.63 and 123.26

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Solution

The fourth proportional to 379.74, 569.63 and 123.26 is: 184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.74 : 569.63 = 123.26 : x
  2. Step 2: Convert to fraction form
    379.74/569.63 = 123.26/x
  3. Step 3: Cross multiply
    379.74x = 569.63 × 123.26
  4. Step 4: Simplify right side
    379.74x = 70,212.59
  5. Step 5: Solve for x
    x = 70,212.59/379.74
  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.