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Finding the Fourth Proportional to 298.59, 411.89 and 219.92

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Solution

The fourth proportional to 298.59, 411.89 and 219.92 is: 303.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.59 : 411.89 = 219.92 : x
  2. Step 2: Convert to fraction form
    298.59/411.89 = 219.92/x
  3. Step 3: Cross multiply
    298.59x = 411.89 × 219.92
  4. Step 4: Simplify right side
    298.59x = 90,579.69
  5. Step 5: Solve for x
    x = 90,579.69/298.59
  6. Step 6: Final answer
    x = 303.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.