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Finding the Fourth Proportional to 379.59, 569.28 and 105.66

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Solution

The fourth proportional to 379.59, 569.28 and 105.66 is: 158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.59 : 569.28 = 105.66 : x
  2. Step 2: Convert to fraction form
    379.59/569.28 = 105.66/x
  3. Step 3: Cross multiply
    379.59x = 569.28 × 105.66
  4. Step 4: Simplify right side
    379.59x = 60,150.12
  5. Step 5: Solve for x
    x = 60,150.12/379.59
  6. Step 6: Final answer
    x = 158.46

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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.