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Finding the Fourth Proportional to 360.52, 497.32 and 227.49

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Solution

The fourth proportional to 360.52, 497.32 and 227.49 is: 313.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.52 : 497.32 = 227.49 : x
  2. Step 2: Convert to fraction form
    360.52/497.32 = 227.49/x
  3. Step 3: Cross multiply
    360.52x = 497.32 × 227.49
  4. Step 4: Simplify right side
    360.52x = 113,136.97
  5. Step 5: Solve for x
    x = 113,136.97/360.52
  6. Step 6: Final answer
    x = 313.82

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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.