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Finding the Fourth Proportional to 388.28, 582.40 and 205.56

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Solution

The fourth proportional to 388.28, 582.40 and 205.56 is: 308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.28 : 582.40 = 205.56 : x
  2. Step 2: Convert to fraction form
    388.28/582.40 = 205.56/x
  3. Step 3: Cross multiply
    388.28x = 582.40 × 205.56
  4. Step 4: Simplify right side
    388.28x = 119,718.14
  5. Step 5: Solve for x
    x = 119,718.14/388.28
  6. Step 6: Final answer
    x = 308.33

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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.