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Finding the Fourth Proportional to 324.22, 485.70 and 323.14

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Solution

The fourth proportional to 324.22, 485.70 and 323.14 is: 484.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.22 : 485.70 = 323.14 : x
  2. Step 2: Convert to fraction form
    324.22/485.70 = 323.14/x
  3. Step 3: Cross multiply
    324.22x = 485.70 × 323.14
  4. Step 4: Simplify right side
    324.22x = 156,949.10
  5. Step 5: Solve for x
    x = 156,949.10/324.22
  6. Step 6: Final answer
    x = 484.08

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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.