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Finding the Fourth Proportional to 388.42, 582.78 and 171.84

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Solution

The fourth proportional to 388.42, 582.78 and 171.84 is: 257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.42 : 582.78 = 171.84 : x
  2. Step 2: Convert to fraction form
    388.42/582.78 = 171.84/x
  3. Step 3: Cross multiply
    388.42x = 582.78 × 171.84
  4. Step 4: Simplify right side
    388.42x = 100,147.75
  5. Step 5: Solve for x
    x = 100,147.75/388.42
  6. Step 6: Final answer
    x = 257.84

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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.