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Finding the Fourth Proportional to 388.42, 582.84 and 205.90

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Solution

The fourth proportional to 388.42, 582.84 and 205.90 is: 308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.42 : 582.84 = 205.90 : x
  2. Step 2: Convert to fraction form
    388.42/582.84 = 205.90/x
  3. Step 3: Cross multiply
    388.42x = 582.84 × 205.90
  4. Step 4: Simplify right side
    388.42x = 120,005.30
  5. Step 5: Solve for x
    x = 120,005.30/388.42
  6. Step 6: Final answer
    x = 308.96

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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.