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Finding the Fourth Proportional to 298.31, 411.42 and 228.24

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Solution

The fourth proportional to 298.31, 411.42 and 228.24 is: 314.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.31 : 411.42 = 228.24 : x
  2. Step 2: Convert to fraction form
    298.31/411.42 = 228.24/x
  3. Step 3: Cross multiply
    298.31x = 411.42 × 228.24
  4. Step 4: Simplify right side
    298.31x = 93,902.50
  5. Step 5: Solve for x
    x = 93,902.50/298.31
  6. Step 6: Final answer
    x = 314.78

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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.