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Finding the Fourth Proportional to 388.06, 582.60 and 205.60

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Solution

The fourth proportional to 388.06, 582.60 and 205.60 is: 308.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.06 : 582.60 = 205.60 : x
  2. Step 2: Convert to fraction form
    388.06/582.60 = 205.60/x
  3. Step 3: Cross multiply
    388.06x = 582.60 × 205.60
  4. Step 4: Simplify right side
    388.06x = 119,782.56
  5. Step 5: Solve for x
    x = 119,782.56/388.06
  6. Step 6: Final answer
    x = 308.67

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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.