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Finding the Fourth Proportional to 816.14, 1,223.25 and 328.54

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Solution

The fourth proportional to 816.14, 1,223.25 and 328.54 is: 492.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.14 : 1,223.25 = 328.54 : x
  2. Step 2: Convert to fraction form
    816.14/1,223.25 = 328.54/x
  3. Step 3: Cross multiply
    816.14x = 1,223.25 × 328.54
  4. Step 4: Simplify right side
    816.14x = 401,886.56
  5. Step 5: Solve for x
    x = 401,886.56/816.14
  6. Step 6: Final answer
    x = 492.42

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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.