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Finding the Fourth Proportional to 349.80, 523.89 and 277.71

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Solution

The fourth proportional to 349.80, 523.89 and 277.71 is: 415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.80 : 523.89 = 277.71 : x
  2. Step 2: Convert to fraction form
    349.80/523.89 = 277.71/x
  3. Step 3: Cross multiply
    349.80x = 523.89 × 277.71
  4. Step 4: Simplify right side
    349.80x = 145,489.49
  5. Step 5: Solve for x
    x = 145,489.49/349.80
  6. Step 6: Final answer
    x = 415.92

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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.