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Finding the Fourth Proportional to 324.43, 486.71 and 151.09

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Solution

The fourth proportional to 324.43, 486.71 and 151.09 is: 226.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.43 : 486.71 = 151.09 : x
  2. Step 2: Convert to fraction form
    324.43/486.71 = 151.09/x
  3. Step 3: Cross multiply
    324.43x = 486.71 × 151.09
  4. Step 4: Simplify right side
    324.43x = 73,537.01
  5. Step 5: Solve for x
    x = 73,537.01/324.43
  6. Step 6: Final answer
    x = 226.67

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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.