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Finding the Fourth Proportional to 552.72, 828.82 and 259.97

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Solution

The fourth proportional to 552.72, 828.82 and 259.97 is: 389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.72 : 828.82 = 259.97 : x
  2. Step 2: Convert to fraction form
    552.72/828.82 = 259.97/x
  3. Step 3: Cross multiply
    552.72x = 828.82 × 259.97
  4. Step 4: Simplify right side
    552.72x = 215,470.06
  5. Step 5: Solve for x
    x = 215,470.06/552.72
  6. Step 6: Final answer
    x = 389.84

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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.