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Finding the Fourth Proportional to 303.09, 418.62 and 224.30

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Solution

The fourth proportional to 303.09, 418.62 and 224.30 is: 309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.09 : 418.62 = 224.30 : x
  2. Step 2: Convert to fraction form
    303.09/418.62 = 224.30/x
  3. Step 3: Cross multiply
    303.09x = 418.62 × 224.30
  4. Step 4: Simplify right side
    303.09x = 93,894.37
  5. Step 5: Solve for x
    x = 93,894.37/303.09
  6. Step 6: Final answer
    x = 309.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.