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Finding the Fourth Proportional to 325.72, 486.29 and 299.96

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Solution

The fourth proportional to 325.72, 486.29 and 299.96 is: 447.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.72 : 486.29 = 299.96 : x
  2. Step 2: Convert to fraction form
    325.72/486.29 = 299.96/x
  3. Step 3: Cross multiply
    325.72x = 486.29 × 299.96
  4. Step 4: Simplify right side
    325.72x = 145,867.55
  5. Step 5: Solve for x
    x = 145,867.55/325.72
  6. Step 6: Final answer
    x = 447.83

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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.