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Finding the Fourth Proportional to 298.90, 445.27 and 289.83

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Solution

The fourth proportional to 298.90, 445.27 and 289.83 is: 431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.90 : 445.27 = 289.83 : x
  2. Step 2: Convert to fraction form
    298.90/445.27 = 289.83/x
  3. Step 3: Cross multiply
    298.90x = 445.27 × 289.83
  4. Step 4: Simplify right side
    298.90x = 129,052.99
  5. Step 5: Solve for x
    x = 129,052.99/298.90
  6. Step 6: Final answer
    x = 431.76

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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.