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Finding the Fourth Proportional to 394.76, 545.46 and 324.77

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Solution

The fourth proportional to 394.76, 545.46 and 324.77 is: 448.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.76 : 545.46 = 324.77 : x
  2. Step 2: Convert to fraction form
    394.76/545.46 = 324.77/x
  3. Step 3: Cross multiply
    394.76x = 545.46 × 324.77
  4. Step 4: Simplify right side
    394.76x = 177,150.41
  5. Step 5: Solve for x
    x = 177,150.41/394.76
  6. Step 6: Final answer
    x = 448.75

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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.