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Finding the Fourth Proportional to 552.55, 828.90 and 205.80

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Solution

The fourth proportional to 552.55, 828.90 and 205.80 is: 308.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.55 : 828.90 = 205.80 : x
  2. Step 2: Convert to fraction form
    552.55/828.90 = 205.80/x
  3. Step 3: Cross multiply
    552.55x = 828.90 × 205.80
  4. Step 4: Simplify right side
    552.55x = 170,587.62
  5. Step 5: Solve for x
    x = 170,587.62/552.55
  6. Step 6: Final answer
    x = 308.73

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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.