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Finding the Fourth Proportional to 816.46, 1,224.74 and 329.50

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Solution

The fourth proportional to 816.46, 1,224.74 and 329.50 is: 494.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.46 : 1,224.74 = 329.50 : x
  2. Step 2: Convert to fraction form
    816.46/1,224.74 = 329.50/x
  3. Step 3: Cross multiply
    816.46x = 1,224.74 × 329.50
  4. Step 4: Simplify right side
    816.46x = 403,554.18
  5. Step 5: Solve for x
    x = 403,554.18/816.46
  6. Step 6: Final answer
    x = 494.27

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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.