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Finding the Fourth Proportional to 297.15, 408.83 and 289.05

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Solution

The fourth proportional to 297.15, 408.83 and 289.05 is: 397.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.15 : 408.83 = 289.05 : x
  2. Step 2: Convert to fraction form
    297.15/408.83 = 289.05/x
  3. Step 3: Cross multiply
    297.15x = 408.83 × 289.05
  4. Step 4: Simplify right side
    297.15x = 118,170.87
  5. Step 5: Solve for x
    x = 118,170.87/297.15
  6. Step 6: Final answer
    x = 397.68

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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.