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Finding the Fourth Proportional to 258.27, 386.73 and 217.04

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Solution

The fourth proportional to 258.27, 386.73 and 217.04 is: 324.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.27 : 386.73 = 217.04 : x
  2. Step 2: Convert to fraction form
    258.27/386.73 = 217.04/x
  3. Step 3: Cross multiply
    258.27x = 386.73 × 217.04
  4. Step 4: Simplify right side
    258.27x = 83,935.88
  5. Step 5: Solve for x
    x = 83,935.88/258.27
  6. Step 6: Final answer
    x = 324.99

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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.