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Finding the Fourth Proportional to 386.51, 533.41 and 211.87

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Solution

The fourth proportional to 386.51, 533.41 and 211.87 is: 292.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.51 : 533.41 = 211.87 : x
  2. Step 2: Convert to fraction form
    386.51/533.41 = 211.87/x
  3. Step 3: Cross multiply
    386.51x = 533.41 × 211.87
  4. Step 4: Simplify right side
    386.51x = 113,010.91
  5. Step 5: Solve for x
    x = 113,010.91/386.51
  6. Step 6: Final answer
    x = 292.39

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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.