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Finding the Fourth Proportional to 297.80, 445.44 and 289.94

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Solution

The fourth proportional to 297.80, 445.44 and 289.94 is: 433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.80 : 445.44 = 289.94 : x
  2. Step 2: Convert to fraction form
    297.80/445.44 = 289.94/x
  3. Step 3: Cross multiply
    297.80x = 445.44 × 289.94
  4. Step 4: Simplify right side
    297.80x = 129,150.87
  5. Step 5: Solve for x
    x = 129,150.87/297.80
  6. Step 6: Final answer
    x = 433.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.