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Finding the Fourth Proportional to 298.28, 411.52 and 270.56

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Solution

The fourth proportional to 298.28, 411.52 and 270.56 is: 373.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.28 : 411.52 = 270.56 : x
  2. Step 2: Convert to fraction form
    298.28/411.52 = 270.56/x
  3. Step 3: Cross multiply
    298.28x = 411.52 × 270.56
  4. Step 4: Simplify right side
    298.28x = 111,340.85
  5. Step 5: Solve for x
    x = 111,340.85/298.28
  6. Step 6: Final answer
    x = 373.28

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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.