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Finding the Fourth Proportional to 322.74, 481.41 and 271.74

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Solution

The fourth proportional to 322.74, 481.41 and 271.74 is: 405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.74 : 481.41 = 271.74 : x
  2. Step 2: Convert to fraction form
    322.74/481.41 = 271.74/x
  3. Step 3: Cross multiply
    322.74x = 481.41 × 271.74
  4. Step 4: Simplify right side
    322.74x = 130,818.35
  5. Step 5: Solve for x
    x = 130,818.35/322.74
  6. Step 6: Final answer
    x = 405.34

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