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Finding the Fourth Proportional to 298.41, 447 and 271.14

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Solution

The fourth proportional to 298.41, 447 and 271.14 is: 406.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.41 : 447 = 271.14 : x
  2. Step 2: Convert to fraction form
    298.41/447 = 271.14/x
  3. Step 3: Cross multiply
    298.41x = 447 × 271.14
  4. Step 4: Simplify right side
    298.41x = 121,199.58
  5. Step 5: Solve for x
    x = 121,199.58/298.41
  6. Step 6: Final answer
    x = 406.15

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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.