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Finding the Fourth Proportional to 816.53, 1,224.83 and 329.58

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Solution

The fourth proportional to 816.53, 1,224.83 and 329.58 is: 494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.53 : 1,224.83 = 329.58 : x
  2. Step 2: Convert to fraction form
    816.53/1,224.83 = 329.58/x
  3. Step 3: Cross multiply
    816.53x = 1,224.83 × 329.58
  4. Step 4: Simplify right side
    816.53x = 403,680.30
  5. Step 5: Solve for x
    x = 403,680.30/816.53
  6. Step 6: Final answer
    x = 494.39

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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.