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Finding the Fourth Proportional to 823.16, 1,234.78 and 336.22

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Solution

The fourth proportional to 823.16, 1,234.78 and 336.22 is: 504.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.16 : 1,234.78 = 336.22 : x
  2. Step 2: Convert to fraction form
    823.16/1,234.78 = 336.22/x
  3. Step 3: Cross multiply
    823.16x = 1,234.78 × 336.22
  4. Step 4: Simplify right side
    823.16x = 415,153.80
  5. Step 5: Solve for x
    x = 415,153.80/823.16
  6. Step 6: Final answer
    x = 504.34

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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.