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Finding the Fourth Proportional to 816.14, 1,224.80 and 329.18

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Solution

The fourth proportional to 816.14, 1,224.80 and 329.18 is: 494.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.14 : 1,224.80 = 329.18 : x
  2. Step 2: Convert to fraction form
    816.14/1,224.80 = 329.18/x
  3. Step 3: Cross multiply
    816.14x = 1,224.80 × 329.18
  4. Step 4: Simplify right side
    816.14x = 403,181.87
  5. Step 5: Solve for x
    x = 403,181.87/816.14
  6. Step 6: Final answer
    x = 494.01

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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.