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Finding the Fourth Proportional to 324.52, 485.74 and 179.80

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Solution

The fourth proportional to 324.52, 485.74 and 179.80 is: 269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.52 : 485.74 = 179.80 : x
  2. Step 2: Convert to fraction form
    324.52/485.74 = 179.80/x
  3. Step 3: Cross multiply
    324.52x = 485.74 × 179.80
  4. Step 4: Simplify right side
    324.52x = 87,336.05
  5. Step 5: Solve for x
    x = 87,336.05/324.52
  6. Step 6: Final answer
    x = 269.12

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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.