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Finding the Fourth Proportional to 388.92, 582.42 and 206.40

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Solution

The fourth proportional to 388.92, 582.42 and 206.40 is: 309.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.92 : 582.42 = 206.40 : x
  2. Step 2: Convert to fraction form
    388.92/582.42 = 206.40/x
  3. Step 3: Cross multiply
    388.92x = 582.42 × 206.40
  4. Step 4: Simplify right side
    388.92x = 120,211.49
  5. Step 5: Solve for x
    x = 120,211.49/388.92
  6. Step 6: Final answer
    x = 309.09

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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.