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Finding the Fourth Proportional to 552.42, 828.42 and 205.74

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Solution

The fourth proportional to 552.42, 828.42 and 205.74 is: 308.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.42 : 828.42 = 205.74 : x
  2. Step 2: Convert to fraction form
    552.42/828.42 = 205.74/x
  3. Step 3: Cross multiply
    552.42x = 828.42 × 205.74
  4. Step 4: Simplify right side
    552.42x = 170,439.13
  5. Step 5: Solve for x
    x = 170,439.13/552.42
  6. Step 6: Final answer
    x = 308.53

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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.