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Finding the Fourth Proportional to 350.78, 484.25 and 271.92

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Solution

The fourth proportional to 350.78, 484.25 and 271.92 is: 375.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.78 : 484.25 = 271.92 : x
  2. Step 2: Convert to fraction form
    350.78/484.25 = 271.92/x
  3. Step 3: Cross multiply
    350.78x = 484.25 × 271.92
  4. Step 4: Simplify right side
    350.78x = 131,674.61
  5. Step 5: Solve for x
    x = 131,674.61/350.78
  6. Step 6: Final answer
    x = 375.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.