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Finding the Fourth Proportional to 324.90, 487.62 and 323.64

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Solution

The fourth proportional to 324.90, 487.62 and 323.64 is: 485.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.90 : 487.62 = 323.64 : x
  2. Step 2: Convert to fraction form
    324.90/487.62 = 323.64/x
  3. Step 3: Cross multiply
    324.90x = 487.62 × 323.64
  4. Step 4: Simplify right side
    324.90x = 157,813.34
  5. Step 5: Solve for x
    x = 157,813.34/324.90
  6. Step 6: Final answer
    x = 485.73

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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.