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Finding the Fourth Proportional to 258.33, 386.82 and 217.83

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Solution

The fourth proportional to 258.33, 386.82 and 217.83 is: 326.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.33 : 386.82 = 217.83 : x
  2. Step 2: Convert to fraction form
    258.33/386.82 = 217.83/x
  3. Step 3: Cross multiply
    258.33x = 386.82 × 217.83
  4. Step 4: Simplify right side
    258.33x = 84,261.00
  5. Step 5: Solve for x
    x = 84,261.00/258.33
  6. Step 6: Final answer
    x = 326.18

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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.