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Finding the Fourth Proportional to 298.80, 411.62 and 248.99

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Solution

The fourth proportional to 298.80, 411.62 and 248.99 is: 342.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.80 : 411.62 = 248.99 : x
  2. Step 2: Convert to fraction form
    298.80/411.62 = 248.99/x
  3. Step 3: Cross multiply
    298.80x = 411.62 × 248.99
  4. Step 4: Simplify right side
    298.80x = 102,485.96
  5. Step 5: Solve for x
    x = 102,485.96/298.80
  6. Step 6: Final answer
    x = 342.99

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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.