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Finding the Fourth Proportional to 388.94, 584.25 and 338.75

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Solution

The fourth proportional to 388.94, 584.25 and 338.75 is: 508.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.94 : 584.25 = 338.75 : x
  2. Step 2: Convert to fraction form
    388.94/584.25 = 338.75/x
  3. Step 3: Cross multiply
    388.94x = 584.25 × 338.75
  4. Step 4: Simplify right side
    388.94x = 197,912.69
  5. Step 5: Solve for x
    x = 197,912.69/388.94
  6. Step 6: Final answer
    x = 508.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.