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Finding the Fourth Proportional to 379.63, 569.33 and 105.65

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Solution

The fourth proportional to 379.63, 569.33 and 105.65 is: 158.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.63 : 569.33 = 105.65 : x
  2. Step 2: Convert to fraction form
    379.63/569.33 = 105.65/x
  3. Step 3: Cross multiply
    379.63x = 569.33 × 105.65
  4. Step 4: Simplify right side
    379.63x = 60,148.03
  5. Step 5: Solve for x
    x = 60,148.03/379.63
  6. Step 6: Final answer
    x = 158.44

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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.