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Finding the Fourth Proportional to 388.37, 535.95 and 213.71

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Solution

The fourth proportional to 388.37, 535.95 and 213.71 is: 294.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.37 : 535.95 = 213.71 : x
  2. Step 2: Convert to fraction form
    388.37/535.95 = 213.71/x
  3. Step 3: Cross multiply
    388.37x = 535.95 × 213.71
  4. Step 4: Simplify right side
    388.37x = 114,535.19
  5. Step 5: Solve for x
    x = 114,535.19/388.37
  6. Step 6: Final answer
    x = 294.92

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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.