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Finding the Fourth Proportional to 578.92, 798.60 and 379.66

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Solution

The fourth proportional to 578.92, 798.60 and 379.66 is: 523.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.92 : 798.60 = 379.66 : x
  2. Step 2: Convert to fraction form
    578.92/798.60 = 379.66/x
  3. Step 3: Cross multiply
    578.92x = 798.60 × 379.66
  4. Step 4: Simplify right side
    578.92x = 303,196.48
  5. Step 5: Solve for x
    x = 303,196.48/578.92
  6. Step 6: Final answer
    x = 523.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.