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Finding the Fourth Proportional to 300.78, 450.63 and 213.84

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Solution

The fourth proportional to 300.78, 450.63 and 213.84 is: 320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.78 : 450.63 = 213.84 : x
  2. Step 2: Convert to fraction form
    300.78/450.63 = 213.84/x
  3. Step 3: Cross multiply
    300.78x = 450.63 × 213.84
  4. Step 4: Simplify right side
    300.78x = 96,362.72
  5. Step 5: Solve for x
    x = 96,362.72/300.78
  6. Step 6: Final answer
    x = 320.38

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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.