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Finding the Fourth Proportional to 360.67, 496.69 and 338.42

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Solution

The fourth proportional to 360.67, 496.69 and 338.42 is: 466.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.67 : 496.69 = 338.42 : x
  2. Step 2: Convert to fraction form
    360.67/496.69 = 338.42/x
  3. Step 3: Cross multiply
    360.67x = 496.69 × 338.42
  4. Step 4: Simplify right side
    360.67x = 168,090.23
  5. Step 5: Solve for x
    x = 168,090.23/360.67
  6. Step 6: Final answer
    x = 466.05

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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.