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Finding the Fourth Proportional to 556.92, 768.82 and 380.80

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Solution

The fourth proportional to 556.92, 768.82 and 380.80 is: 525.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.92 : 768.82 = 380.80 : x
  2. Step 2: Convert to fraction form
    556.92/768.82 = 380.80/x
  3. Step 3: Cross multiply
    556.92x = 768.82 × 380.80
  4. Step 4: Simplify right side
    556.92x = 292,766.66
  5. Step 5: Solve for x
    x = 292,766.66/556.92
  6. Step 6: Final answer
    x = 525.69

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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.