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Finding the Fourth Proportional to 299.69, 446.85 and 299.28

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Solution

The fourth proportional to 299.69, 446.85 and 299.28 is: 446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.69 : 446.85 = 299.28 : x
  2. Step 2: Convert to fraction form
    299.69/446.85 = 299.28/x
  3. Step 3: Cross multiply
    299.69x = 446.85 × 299.28
  4. Step 4: Simplify right side
    299.69x = 133,733.27
  5. Step 5: Solve for x
    x = 133,733.27/299.69
  6. Step 6: Final answer
    x = 446.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.