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Finding the Fourth Proportional to 300.90, 414.79 and 207.49

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Solution

The fourth proportional to 300.90, 414.79 and 207.49 is: 286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.90 : 414.79 = 207.49 : x
  2. Step 2: Convert to fraction form
    300.90/414.79 = 207.49/x
  3. Step 3: Cross multiply
    300.90x = 414.79 × 207.49
  4. Step 4: Simplify right side
    300.90x = 86,064.78
  5. Step 5: Solve for x
    x = 86,064.78/300.90
  6. Step 6: Final answer
    x = 286.02

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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.