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Finding the Fourth Proportional to 386.92, 533.87 and 229.56

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Solution

The fourth proportional to 386.92, 533.87 and 229.56 is: 316.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.92 : 533.87 = 229.56 : x
  2. Step 2: Convert to fraction form
    386.92/533.87 = 229.56/x
  3. Step 3: Cross multiply
    386.92x = 533.87 × 229.56
  4. Step 4: Simplify right side
    386.92x = 122,552.91
  5. Step 5: Solve for x
    x = 122,552.91/386.92
  6. Step 6: Final answer
    x = 316.74

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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.