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Finding the Fourth Proportional to 386.41, 533.25 and 211.75

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Solution

The fourth proportional to 386.41, 533.25 and 211.75 is: 292.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.41 : 533.25 = 211.75 : x
  2. Step 2: Convert to fraction form
    386.41/533.25 = 211.75/x
  3. Step 3: Cross multiply
    386.41x = 533.25 × 211.75
  4. Step 4: Simplify right side
    386.41x = 112,915.69
  5. Step 5: Solve for x
    x = 112,915.69/386.41
  6. Step 6: Final answer
    x = 292.22

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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.