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Finding the Fourth Proportional to 388.32, 535.91 and 213.69

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Solution

The fourth proportional to 388.32, 535.91 and 213.69 is: 294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.32 : 535.91 = 213.69 : x
  2. Step 2: Convert to fraction form
    388.32/535.91 = 213.69/x
  3. Step 3: Cross multiply
    388.32x = 535.91 × 213.69
  4. Step 4: Simplify right side
    388.32x = 114,517.54
  5. Step 5: Solve for x
    x = 114,517.54/388.32
  6. Step 6: Final answer
    x = 294.91

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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.