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Finding the Fourth Proportional to 324.15, 486.63 and 322.67

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Solution

The fourth proportional to 324.15, 486.63 and 322.67 is: 484.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.15 : 486.63 = 322.67 : x
  2. Step 2: Convert to fraction form
    324.15/486.63 = 322.67/x
  3. Step 3: Cross multiply
    324.15x = 486.63 × 322.67
  4. Step 4: Simplify right side
    324.15x = 157,020.90
  5. Step 5: Solve for x
    x = 157,020.90/324.15
  6. Step 6: Final answer
    x = 484.41

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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.