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Finding the Fourth Proportional to 388.26, 582.41 and 114.34

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Solution

The fourth proportional to 388.26, 582.41 and 114.34 is: 171.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.26 : 582.41 = 114.34 : x
  2. Step 2: Convert to fraction form
    388.26/582.41 = 114.34/x
  3. Step 3: Cross multiply
    388.26x = 582.41 × 114.34
  4. Step 4: Simplify right side
    388.26x = 66,592.76
  5. Step 5: Solve for x
    x = 66,592.76/388.26
  6. Step 6: Final answer
    x = 171.52

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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.