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Finding the Fourth Proportional to 386.81, 533.81 and 212.17

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Solution

The fourth proportional to 386.81, 533.81 and 212.17 is: 292.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.81 : 533.81 = 212.17 : x
  2. Step 2: Convert to fraction form
    386.81/533.81 = 212.17/x
  3. Step 3: Cross multiply
    386.81x = 533.81 × 212.17
  4. Step 4: Simplify right side
    386.81x = 113,257.66
  5. Step 5: Solve for x
    x = 113,257.66/386.81
  6. Step 6: Final answer
    x = 292.80

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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.