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Finding the Fourth Proportional to 823.49, 1,235.37 and 336.41

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Solution

The fourth proportional to 823.49, 1,235.37 and 336.41 is: 504.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.49 : 1,235.37 = 336.41 : x
  2. Step 2: Convert to fraction form
    823.49/1,235.37 = 336.41/x
  3. Step 3: Cross multiply
    823.49x = 1,235.37 × 336.41
  4. Step 4: Simplify right side
    823.49x = 415,590.82
  5. Step 5: Solve for x
    x = 415,590.82/823.49
  6. Step 6: Final answer
    x = 504.67

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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.