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Finding the Fourth Proportional to 298.74, 445.11 and 266.41

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Solution

The fourth proportional to 298.74, 445.11 and 266.41 is: 396.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.74 : 445.11 = 266.41 : x
  2. Step 2: Convert to fraction form
    298.74/445.11 = 266.41/x
  3. Step 3: Cross multiply
    298.74x = 445.11 × 266.41
  4. Step 4: Simplify right side
    298.74x = 118,581.76
  5. Step 5: Solve for x
    x = 118,581.76/298.74
  6. Step 6: Final answer
    x = 396.94

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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.