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Finding the Fourth Proportional to 388.74, 582.94 and 206.09

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Solution

The fourth proportional to 388.74, 582.94 and 206.09 is: 309.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.74 : 582.94 = 206.09 : x
  2. Step 2: Convert to fraction form
    388.74/582.94 = 206.09/x
  3. Step 3: Cross multiply
    388.74x = 582.94 × 206.09
  4. Step 4: Simplify right side
    388.74x = 120,139.43
  5. Step 5: Solve for x
    x = 120,139.43/388.74
  6. Step 6: Final answer
    x = 309.05

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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.