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Finding the Fourth Proportional to 300.78, 414.90 and 212.13

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Solution

The fourth proportional to 300.78, 414.90 and 212.13 is: 292.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.78 : 414.90 = 212.13 : x
  2. Step 2: Convert to fraction form
    300.78/414.90 = 212.13/x
  3. Step 3: Cross multiply
    300.78x = 414.90 × 212.13
  4. Step 4: Simplify right side
    300.78x = 88,012.74
  5. Step 5: Solve for x
    x = 88,012.74/300.78
  6. Step 6: Final answer
    x = 292.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.