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Finding the Fourth Proportional to 415.74, 622.49 and 338.39

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Solution

The fourth proportional to 415.74, 622.49 and 338.39 is: 506.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.74 : 622.49 = 338.39 : x
  2. Step 2: Convert to fraction form
    415.74/622.49 = 338.39/x
  3. Step 3: Cross multiply
    415.74x = 622.49 × 338.39
  4. Step 4: Simplify right side
    415.74x = 210,642.12
  5. Step 5: Solve for x
    x = 210,642.12/415.74
  6. Step 6: Final answer
    x = 506.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.