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Finding the Fourth Proportional to 388.02, 535.46 and 213.36

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Solution

The fourth proportional to 388.02, 535.46 and 213.36 is: 294.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.02 : 535.46 = 213.36 : x
  2. Step 2: Convert to fraction form
    388.02/535.46 = 213.36/x
  3. Step 3: Cross multiply
    388.02x = 535.46 × 213.36
  4. Step 4: Simplify right side
    388.02x = 114,245.75
  5. Step 5: Solve for x
    x = 114,245.75/388.02
  6. Step 6: Final answer
    x = 294.43

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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.