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Finding the Fourth Proportional to 823.34, 1,234.98 and 238.34

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Solution

The fourth proportional to 823.34, 1,234.98 and 238.34 is: 357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.34 : 1,234.98 = 238.34 : x
  2. Step 2: Convert to fraction form
    823.34/1,234.98 = 238.34/x
  3. Step 3: Cross multiply
    823.34x = 1,234.98 × 238.34
  4. Step 4: Simplify right side
    823.34x = 294,338.96
  5. Step 5: Solve for x
    x = 294,338.96/823.34
  6. Step 6: Final answer
    x = 357.50

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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.