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Finding the Fourth Proportional to 453.09, 679.38 and 299.10

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Solution

The fourth proportional to 453.09, 679.38 and 299.10 is: 448.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.09 : 679.38 = 299.10 : x
  2. Step 2: Convert to fraction form
    453.09/679.38 = 299.10/x
  3. Step 3: Cross multiply
    453.09x = 679.38 × 299.10
  4. Step 4: Simplify right side
    453.09x = 203,202.56
  5. Step 5: Solve for x
    x = 203,202.56/453.09
  6. Step 6: Final answer
    x = 448.48

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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.