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Finding the Fourth Proportional to 323.32, 486.06 and 299.56

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Solution

The fourth proportional to 323.32, 486.06 and 299.56 is: 450.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.32 : 486.06 = 299.56 : x
  2. Step 2: Convert to fraction form
    323.32/486.06 = 299.56/x
  3. Step 3: Cross multiply
    323.32x = 486.06 × 299.56
  4. Step 4: Simplify right side
    323.32x = 145,604.13
  5. Step 5: Solve for x
    x = 145,604.13/323.32
  6. Step 6: Final answer
    x = 450.34

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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.