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Finding the Fourth Proportional to 300.98, 451.44 and 214.40

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Solution

The fourth proportional to 300.98, 451.44 and 214.40 is: 321.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.98 : 451.44 = 214.40 : x
  2. Step 2: Convert to fraction form
    300.98/451.44 = 214.40/x
  3. Step 3: Cross multiply
    300.98x = 451.44 × 214.40
  4. Step 4: Simplify right side
    300.98x = 96,786.48
  5. Step 5: Solve for x
    x = 96,786.48/300.98
  6. Step 6: Final answer
    x = 321.58

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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.