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Finding the Fourth Proportional to 300.53, 414.38 and 213.05

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Solution

The fourth proportional to 300.53, 414.38 and 213.05 is: 293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.53 : 414.38 = 213.05 : x
  2. Step 2: Convert to fraction form
    300.53/414.38 = 213.05/x
  3. Step 3: Cross multiply
    300.53x = 414.38 × 213.05
  4. Step 4: Simplify right side
    300.53x = 88,285.23
  5. Step 5: Solve for x
    x = 88,285.23/300.53
  6. Step 6: Final answer
    x = 293.76

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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.