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Finding the Fourth Proportional to 823.34, 1,235.42 and 336.12

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Solution

The fourth proportional to 823.34, 1,235.42 and 336.12 is: 504.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.34 : 1,235.42 = 336.12 : x
  2. Step 2: Convert to fraction form
    823.34/1,235.42 = 336.12/x
  3. Step 3: Cross multiply
    823.34x = 1,235.42 × 336.12
  4. Step 4: Simplify right side
    823.34x = 415,249.37
  5. Step 5: Solve for x
    x = 415,249.37/823.34
  6. Step 6: Final answer
    x = 504.35

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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.