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Finding the Fourth Proportional to 816.28, 1,223.71 and 329.06

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Solution

The fourth proportional to 816.28, 1,223.71 and 329.06 is: 493.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.28 : 1,223.71 = 329.06 : x
  2. Step 2: Convert to fraction form
    816.28/1,223.71 = 329.06/x
  3. Step 3: Cross multiply
    816.28x = 1,223.71 × 329.06
  4. Step 4: Simplify right side
    816.28x = 402,676.25
  5. Step 5: Solve for x
    x = 402,676.25/816.28
  6. Step 6: Final answer
    x = 493.31

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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.