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Finding the Fourth Proportional to 304.06, 454.52 and 226.30

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Solution

The fourth proportional to 304.06, 454.52 and 226.30 is: 338.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.06 : 454.52 = 226.30 : x
  2. Step 2: Convert to fraction form
    304.06/454.52 = 226.30/x
  3. Step 3: Cross multiply
    304.06x = 454.52 × 226.30
  4. Step 4: Simplify right side
    304.06x = 102,857.88
  5. Step 5: Solve for x
    x = 102,857.88/304.06
  6. Step 6: Final answer
    x = 338.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.