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Finding the Fourth Proportional to 386.75, 533.72 and 212.09

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Solution

The fourth proportional to 386.75, 533.72 and 212.09 is: 292.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.75 : 533.72 = 212.09 : x
  2. Step 2: Convert to fraction form
    386.75/533.72 = 212.09/x
  3. Step 3: Cross multiply
    386.75x = 533.72 × 212.09
  4. Step 4: Simplify right side
    386.75x = 113,196.67
  5. Step 5: Solve for x
    x = 113,196.67/386.75
  6. Step 6: Final answer
    x = 292.69

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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.