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Finding the Fourth Proportional to 386.82, 533.82 and 212.19

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Solution

The fourth proportional to 386.82, 533.82 and 212.19 is: 292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.82 : 533.82 = 212.19 : x
  2. Step 2: Convert to fraction form
    386.82/533.82 = 212.19/x
  3. Step 3: Cross multiply
    386.82x = 533.82 × 212.19
  4. Step 4: Simplify right side
    386.82x = 113,271.27
  5. Step 5: Solve for x
    x = 113,271.27/386.82
  6. Step 6: Final answer
    x = 292.83

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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.