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Finding the Fourth Proportional to 298.42, 447.06 and 270.88

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Solution

The fourth proportional to 298.42, 447.06 and 270.88 is: 405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.42 : 447.06 = 270.88 : x
  2. Step 2: Convert to fraction form
    298.42/447.06 = 270.88/x
  3. Step 3: Cross multiply
    298.42x = 447.06 × 270.88
  4. Step 4: Simplify right side
    298.42x = 121,099.61
  5. Step 5: Solve for x
    x = 121,099.61/298.42
  6. Step 6: Final answer
    x = 405.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.