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Finding the Fourth Proportional to 386.57, 579.97 and 232.69

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Solution

The fourth proportional to 386.57, 579.97 and 232.69 is: 349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.57 : 579.97 = 232.69 : x
  2. Step 2: Convert to fraction form
    386.57/579.97 = 232.69/x
  3. Step 3: Cross multiply
    386.57x = 579.97 × 232.69
  4. Step 4: Simplify right side
    386.57x = 134,951.03
  5. Step 5: Solve for x
    x = 134,951.03/386.57
  6. Step 6: Final answer
    x = 349.10

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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.