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Finding the Fourth Proportional to 388.26, 535.75 and 213.60

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Solution

The fourth proportional to 388.26, 535.75 and 213.60 is: 294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.26 : 535.75 = 213.60 : x
  2. Step 2: Convert to fraction form
    388.26/535.75 = 213.60/x
  3. Step 3: Cross multiply
    388.26x = 535.75 × 213.60
  4. Step 4: Simplify right side
    388.26x = 114,437.68
  5. Step 5: Solve for x
    x = 114,437.68/388.26
  6. Step 6: Final answer
    x = 294.74

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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.