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Finding the Fourth Proportional to 816.08, 1,224.23 and 329.09

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Solution

The fourth proportional to 816.08, 1,224.23 and 329.09 is: 493.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.08 : 1,224.23 = 329.09 : x
  2. Step 2: Convert to fraction form
    816.08/1,224.23 = 329.09/x
  3. Step 3: Cross multiply
    816.08x = 1,224.23 × 329.09
  4. Step 4: Simplify right side
    816.08x = 402,874.08
  5. Step 5: Solve for x
    x = 402,874.08/816.08
  6. Step 6: Final answer
    x = 493.67

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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.