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Finding the Fourth Proportional to 388.78, 582.97 and 114.83

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Solution

The fourth proportional to 388.78, 582.97 and 114.83 is: 172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.78 : 582.97 = 114.83 : x
  2. Step 2: Convert to fraction form
    388.78/582.97 = 114.83/x
  3. Step 3: Cross multiply
    388.78x = 582.97 × 114.83
  4. Step 4: Simplify right side
    388.78x = 66,944.60
  5. Step 5: Solve for x
    x = 66,944.60/388.78
  6. Step 6: Final answer
    x = 172.19

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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.