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Finding the Fourth Proportional to 349.87, 523.99 and 277.78

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Solution

The fourth proportional to 349.87, 523.99 and 277.78 is: 416.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.87 : 523.99 = 277.78 : x
  2. Step 2: Convert to fraction form
    349.87/523.99 = 277.78/x
  3. Step 3: Cross multiply
    349.87x = 523.99 × 277.78
  4. Step 4: Simplify right side
    349.87x = 145,553.94
  5. Step 5: Solve for x
    x = 145,553.94/349.87
  6. Step 6: Final answer
    x = 416.02

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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.