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Finding the Fourth Proportional to 298.54, 411.62 and 280.65

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Solution

The fourth proportional to 298.54, 411.62 and 280.65 is: 386.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.54 : 411.62 = 280.65 : x
  2. Step 2: Convert to fraction form
    298.54/411.62 = 280.65/x
  3. Step 3: Cross multiply
    298.54x = 411.62 × 280.65
  4. Step 4: Simplify right side
    298.54x = 115,521.15
  5. Step 5: Solve for x
    x = 115,521.15/298.54
  6. Step 6: Final answer
    x = 386.95

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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.