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Finding the Fourth Proportional to 816, 1,224.18 and 329.08

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Solution

The fourth proportional to 816, 1,224.18 and 329.08 is: 493.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    816 : 1,224.18 = 329.08 : x
  2. Step 2: Convert to fraction form
    816/1,224.18 = 329.08/x
  3. Step 3: Cross multiply
    816x = 1,224.18 × 329.08
  4. Step 4: Simplify right side
    816x = 402,853.15
  5. Step 5: Solve for x
    x = 402,853.15/816
  6. Step 6: Final answer
    x = 493.69

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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.