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Finding the Fourth Proportional to 299.72, 449.05 and 255.94

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Solution

The fourth proportional to 299.72, 449.05 and 255.94 is: 383.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.72 : 449.05 = 255.94 : x
  2. Step 2: Convert to fraction form
    299.72/449.05 = 255.94/x
  3. Step 3: Cross multiply
    299.72x = 449.05 × 255.94
  4. Step 4: Simplify right side
    299.72x = 114,929.86
  5. Step 5: Solve for x
    x = 114,929.86/299.72
  6. Step 6: Final answer
    x = 383.46

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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.