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Finding the Fourth Proportional to 379.58, 569.23 and 105.59

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Solution

The fourth proportional to 379.58, 569.23 and 105.59 is: 158.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.58 : 569.23 = 105.59 : x
  2. Step 2: Convert to fraction form
    379.58/569.23 = 105.59/x
  3. Step 3: Cross multiply
    379.58x = 569.23 × 105.59
  4. Step 4: Simplify right side
    379.58x = 60,106.15
  5. Step 5: Solve for x
    x = 60,106.15/379.58
  6. Step 6: Final answer
    x = 158.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.