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Finding the Fourth Proportional to 816, 1,224.20 and 329.05

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Solution

The fourth proportional to 816, 1,224.20 and 329.05 is: 493.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    816 : 1,224.20 = 329.05 : x
  2. Step 2: Convert to fraction form
    816/1,224.20 = 329.05/x
  3. Step 3: Cross multiply
    816x = 1,224.20 × 329.05
  4. Step 4: Simplify right side
    816x = 402,823.01
  5. Step 5: Solve for x
    x = 402,823.01/816
  6. Step 6: Final answer
    x = 493.66

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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.