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Finding the Fourth Proportional to 301.70, 450.67 and 224.24

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Solution

The fourth proportional to 301.70, 450.67 and 224.24 is: 334.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.70 : 450.67 = 224.24 : x
  2. Step 2: Convert to fraction form
    301.70/450.67 = 224.24/x
  3. Step 3: Cross multiply
    301.70x = 450.67 × 224.24
  4. Step 4: Simplify right side
    301.70x = 101,058.24
  5. Step 5: Solve for x
    x = 101,058.24/301.70
  6. Step 6: Final answer
    x = 334.97

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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.