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Finding the Fourth Proportional to 823.51, 1,234.49 and 303.22

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Solution

The fourth proportional to 823.51, 1,234.49 and 303.22 is: 454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.51 : 1,234.49 = 303.22 : x
  2. Step 2: Convert to fraction form
    823.51/1,234.49 = 303.22/x
  3. Step 3: Cross multiply
    823.51x = 1,234.49 × 303.22
  4. Step 4: Simplify right side
    823.51x = 374,319.73
  5. Step 5: Solve for x
    x = 374,319.73/823.51
  6. Step 6: Final answer
    x = 454.54

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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.