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Finding the Fourth Proportional to 300.62, 450.29 and 231.63

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Solution

The fourth proportional to 300.62, 450.29 and 231.63 is: 346.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.62 : 450.29 = 231.63 : x
  2. Step 2: Convert to fraction form
    300.62/450.29 = 231.63/x
  3. Step 3: Cross multiply
    300.62x = 450.29 × 231.63
  4. Step 4: Simplify right side
    300.62x = 104,299.51
  5. Step 5: Solve for x
    x = 104,299.51/300.62
  6. Step 6: Final answer
    x = 346.95

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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.