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Finding the Fourth Proportional to 338.73, 507.69 and 223.26

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Solution

The fourth proportional to 338.73, 507.69 and 223.26 is: 334.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.73 : 507.69 = 223.26 : x
  2. Step 2: Convert to fraction form
    338.73/507.69 = 223.26/x
  3. Step 3: Cross multiply
    338.73x = 507.69 × 223.26
  4. Step 4: Simplify right side
    338.73x = 113,346.87
  5. Step 5: Solve for x
    x = 113,346.87/338.73
  6. Step 6: Final answer
    x = 334.62

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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.