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Finding the Fourth Proportional to 395.44, 545.96 and 271.06

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Solution

The fourth proportional to 395.44, 545.96 and 271.06 is: 374.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.44 : 545.96 = 271.06 : x
  2. Step 2: Convert to fraction form
    395.44/545.96 = 271.06/x
  3. Step 3: Cross multiply
    395.44x = 545.96 × 271.06
  4. Step 4: Simplify right side
    395.44x = 147,987.92
  5. Step 5: Solve for x
    x = 147,987.92/395.44
  6. Step 6: Final answer
    x = 374.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.