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Finding the Fourth Proportional to 300.66, 414.90 and 213.45

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Solution

The fourth proportional to 300.66, 414.90 and 213.45 is: 294.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.66 : 414.90 = 213.45 : x
  2. Step 2: Convert to fraction form
    300.66/414.90 = 213.45/x
  3. Step 3: Cross multiply
    300.66x = 414.90 × 213.45
  4. Step 4: Simplify right side
    300.66x = 88,560.41
  5. Step 5: Solve for x
    x = 88,560.41/300.66
  6. Step 6: Final answer
    x = 294.55

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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.