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Finding the Fourth Proportional to 386.75, 579.82 and 224.14

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Solution

The fourth proportional to 386.75, 579.82 and 224.14 is: 336.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.75 : 579.82 = 224.14 : x
  2. Step 2: Convert to fraction form
    386.75/579.82 = 224.14/x
  3. Step 3: Cross multiply
    386.75x = 579.82 × 224.14
  4. Step 4: Simplify right side
    386.75x = 129,960.85
  5. Step 5: Solve for x
    x = 129,960.85/386.75
  6. Step 6: Final answer
    x = 336.03

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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.