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Finding the Fourth Proportional to 349.61, 524.07 and 227.97

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Solution

The fourth proportional to 349.61, 524.07 and 227.97 is: 341.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.61 : 524.07 = 227.97 : x
  2. Step 2: Convert to fraction form
    349.61/524.07 = 227.97/x
  3. Step 3: Cross multiply
    349.61x = 524.07 × 227.97
  4. Step 4: Simplify right side
    349.61x = 119,472.24
  5. Step 5: Solve for x
    x = 119,472.24/349.61
  6. Step 6: Final answer
    x = 341.73

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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.