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Finding the Fourth Proportional to 388.20, 582.66 and 205.53

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Solution

The fourth proportional to 388.20, 582.66 and 205.53 is: 308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.20 : 582.66 = 205.53 : x
  2. Step 2: Convert to fraction form
    388.20/582.66 = 205.53/x
  3. Step 3: Cross multiply
    388.20x = 582.66 × 205.53
  4. Step 4: Simplify right side
    388.20x = 119,754.11
  5. Step 5: Solve for x
    x = 119,754.11/388.20
  6. Step 6: Final answer
    x = 308.49

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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.