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Finding the Fourth Proportional to 388.15, 535.63 and 213.49

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Solution

The fourth proportional to 388.15, 535.63 and 213.49 is: 294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.15 : 535.63 = 213.49 : x
  2. Step 2: Convert to fraction form
    388.15/535.63 = 213.49/x
  3. Step 3: Cross multiply
    388.15x = 535.63 × 213.49
  4. Step 4: Simplify right side
    388.15x = 114,351.65
  5. Step 5: Solve for x
    x = 114,351.65/388.15
  6. Step 6: Final answer
    x = 294.61

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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.