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Finding the Fourth Proportional to 324.96, 485.09 and 299.04

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Solution

The fourth proportional to 324.96, 485.09 and 299.04 is: 446.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.96 : 485.09 = 299.04 : x
  2. Step 2: Convert to fraction form
    324.96/485.09 = 299.04/x
  3. Step 3: Cross multiply
    324.96x = 485.09 × 299.04
  4. Step 4: Simplify right side
    324.96x = 145,059.82
  5. Step 5: Solve for x
    x = 145,059.82/324.96
  6. Step 6: Final answer
    x = 446.39

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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.