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Finding the Fourth Proportional to 258.35, 388.07 and 217.85

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Solution

The fourth proportional to 258.35, 388.07 and 217.85 is: 327.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.35 : 388.07 = 217.85 : x
  2. Step 2: Convert to fraction form
    258.35/388.07 = 217.85/x
  3. Step 3: Cross multiply
    258.35x = 388.07 × 217.85
  4. Step 4: Simplify right side
    258.35x = 84,539.96
  5. Step 5: Solve for x
    x = 84,539.96/258.35
  6. Step 6: Final answer
    x = 327.23

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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.