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Finding the Fourth Proportional to 552.38, 828.10 and 205.65

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Solution

The fourth proportional to 552.38, 828.10 and 205.65 is: 308.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.38 : 828.10 = 205.65 : x
  2. Step 2: Convert to fraction form
    552.38/828.10 = 205.65/x
  3. Step 3: Cross multiply
    552.38x = 828.10 × 205.65
  4. Step 4: Simplify right side
    552.38x = 170,298.77
  5. Step 5: Solve for x
    x = 170,298.77/552.38
  6. Step 6: Final answer
    x = 308.30

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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.