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Finding the Fourth Proportional to 386.92, 533.96 and 212.24

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Solution

The fourth proportional to 386.92, 533.96 and 212.24 is: 292.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.92 : 533.96 = 212.24 : x
  2. Step 2: Convert to fraction form
    386.92/533.96 = 212.24/x
  3. Step 3: Cross multiply
    386.92x = 533.96 × 212.24
  4. Step 4: Simplify right side
    386.92x = 113,327.67
  5. Step 5: Solve for x
    x = 113,327.67/386.92
  6. Step 6: Final answer
    x = 292.90

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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.