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Finding the Fourth Proportional to 388.37, 535.97 and 213.73

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Solution

The fourth proportional to 388.37, 535.97 and 213.73 is: 294.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.37 : 535.97 = 213.73 : x
  2. Step 2: Convert to fraction form
    388.37/535.97 = 213.73/x
  3. Step 3: Cross multiply
    388.37x = 535.97 × 213.73
  4. Step 4: Simplify right side
    388.37x = 114,552.06
  5. Step 5: Solve for x
    x = 114,552.06/388.37
  6. Step 6: Final answer
    x = 294.95

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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.