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Finding the Fourth Proportional to 300.65, 413.99 and 272.84

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Solution

The fourth proportional to 300.65, 413.99 and 272.84 is: 375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.65 : 413.99 = 272.84 : x
  2. Step 2: Convert to fraction form
    300.65/413.99 = 272.84/x
  3. Step 3: Cross multiply
    300.65x = 413.99 × 272.84
  4. Step 4: Simplify right side
    300.65x = 112,952.70
  5. Step 5: Solve for x
    x = 112,952.70/300.65
  6. Step 6: Final answer
    x = 375.70

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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.