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Finding the Fourth Proportional to 816.14, 1,224.42 and 329.74

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Solution

The fourth proportional to 816.14, 1,224.42 and 329.74 is: 494.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.14 : 1,224.42 = 329.74 : x
  2. Step 2: Convert to fraction form
    816.14/1,224.42 = 329.74/x
  3. Step 3: Cross multiply
    816.14x = 1,224.42 × 329.74
  4. Step 4: Simplify right side
    816.14x = 403,740.25
  5. Step 5: Solve for x
    x = 403,740.25/816.14
  6. Step 6: Final answer
    x = 494.69

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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.