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Finding the Fourth Proportional to 574.56, 792.90 and 338.67

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Solution

The fourth proportional to 574.56, 792.90 and 338.67 is: 467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.56 : 792.90 = 338.67 : x
  2. Step 2: Convert to fraction form
    574.56/792.90 = 338.67/x
  3. Step 3: Cross multiply
    574.56x = 792.90 × 338.67
  4. Step 4: Simplify right side
    574.56x = 268,531.44
  5. Step 5: Solve for x
    x = 268,531.44/574.56
  6. Step 6: Final answer
    x = 467.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.