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Finding the Fourth Proportional to 338.46, 466.38 and 301.56

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Solution

The fourth proportional to 338.46, 466.38 and 301.56 is: 415.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.46 : 466.38 = 301.56 : x
  2. Step 2: Convert to fraction form
    338.46/466.38 = 301.56/x
  3. Step 3: Cross multiply
    338.46x = 466.38 × 301.56
  4. Step 4: Simplify right side
    338.46x = 140,641.55
  5. Step 5: Solve for x
    x = 140,641.55/338.46
  6. Step 6: Final answer
    x = 415.53

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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.