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Finding the Fourth Proportional to 258.37, 386.87 and 217.13

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Solution

The fourth proportional to 258.37, 386.87 and 217.13 is: 325.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.37 : 386.87 = 217.13 : x
  2. Step 2: Convert to fraction form
    258.37/386.87 = 217.13/x
  3. Step 3: Cross multiply
    258.37x = 386.87 × 217.13
  4. Step 4: Simplify right side
    258.37x = 84,002.59
  5. Step 5: Solve for x
    x = 84,002.59/258.37
  6. Step 6: Final answer
    x = 325.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.