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Finding the Fourth Proportional to 258.57, 386.91 and 224.46

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Solution

The fourth proportional to 258.57, 386.91 and 224.46 is: 335.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.57 : 386.91 = 224.46 : x
  2. Step 2: Convert to fraction form
    258.57/386.91 = 224.46/x
  3. Step 3: Cross multiply
    258.57x = 386.91 × 224.46
  4. Step 4: Simplify right side
    258.57x = 86,845.82
  5. Step 5: Solve for x
    x = 86,845.82/258.57
  6. Step 6: Final answer
    x = 335.87

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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.