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Finding the Fourth Proportional to 552.44, 827.70 and 341

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Solution

The fourth proportional to 552.44, 827.70 and 341 is: 510.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.44 : 827.70 = 341 : x
  2. Step 2: Convert to fraction form
    552.44/827.70 = 341/x
  3. Step 3: Cross multiply
    552.44x = 827.70 × 341
  4. Step 4: Simplify right side
    552.44x = 282,245.70
  5. Step 5: Solve for x
    x = 282,245.70/552.44
  6. Step 6: Final answer
    x = 510.91

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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.