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Finding the Fourth Proportional to 386.14, 532.86 and 211.49

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Solution

The fourth proportional to 386.14, 532.86 and 211.49 is: 291.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.14 : 532.86 = 211.49 : x
  2. Step 2: Convert to fraction form
    386.14/532.86 = 211.49/x
  3. Step 3: Cross multiply
    386.14x = 532.86 × 211.49
  4. Step 4: Simplify right side
    386.14x = 112,694.56
  5. Step 5: Solve for x
    x = 112,694.56/386.14
  6. Step 6: Final answer
    x = 291.85

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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.