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Finding the Fourth Proportional to 386.63, 533.54 and 211.97

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Solution

The fourth proportional to 386.63, 533.54 and 211.97 is: 292.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.63 : 533.54 = 211.97 : x
  2. Step 2: Convert to fraction form
    386.63/533.54 = 211.97/x
  3. Step 3: Cross multiply
    386.63x = 533.54 × 211.97
  4. Step 4: Simplify right side
    386.63x = 113,092.34
  5. Step 5: Solve for x
    x = 113,092.34/386.63
  6. Step 6: Final answer
    x = 292.51

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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.