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Finding the Fourth Proportional to 298.56, 445.92 and 274.32

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Solution

The fourth proportional to 298.56, 445.92 and 274.32 is: 409.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.56 : 445.92 = 274.32 : x
  2. Step 2: Convert to fraction form
    298.56/445.92 = 274.32/x
  3. Step 3: Cross multiply
    298.56x = 445.92 × 274.32
  4. Step 4: Simplify right side
    298.56x = 122,324.77
  5. Step 5: Solve for x
    x = 122,324.77/298.56
  6. Step 6: Final answer
    x = 409.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.