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Finding the Fourth Proportional to 324.60, 485.67 and 180.42

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Solution

The fourth proportional to 324.60, 485.67 and 180.42 is: 269.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.60 : 485.67 = 180.42 : x
  2. Step 2: Convert to fraction form
    324.60/485.67 = 180.42/x
  3. Step 3: Cross multiply
    324.60x = 485.67 × 180.42
  4. Step 4: Simplify right side
    324.60x = 87,624.58
  5. Step 5: Solve for x
    x = 87,624.58/324.60
  6. Step 6: Final answer
    x = 269.95

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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.