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Finding the Fourth Proportional to 338.21, 466.16 and 258.43

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Solution

The fourth proportional to 338.21, 466.16 and 258.43 is: 356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.21 : 466.16 = 258.43 : x
  2. Step 2: Convert to fraction form
    338.21/466.16 = 258.43/x
  3. Step 3: Cross multiply
    338.21x = 466.16 × 258.43
  4. Step 4: Simplify right side
    338.21x = 120,469.73
  5. Step 5: Solve for x
    x = 120,469.73/338.21
  6. Step 6: Final answer
    x = 356.20

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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.