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Finding the Fourth Proportional to 278.19, 416.67 and 272.65

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Solution

The fourth proportional to 278.19, 416.67 and 272.65 is: 408.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.19 : 416.67 = 272.65 : x
  2. Step 2: Convert to fraction form
    278.19/416.67 = 272.65/x
  3. Step 3: Cross multiply
    278.19x = 416.67 × 272.65
  4. Step 4: Simplify right side
    278.19x = 113,605.08
  5. Step 5: Solve for x
    x = 113,605.08/278.19
  6. Step 6: Final answer
    x = 408.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.