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Finding the Fourth Proportional to 338.47, 466.84 and 220.31

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Solution

The fourth proportional to 338.47, 466.84 and 220.31 is: 303.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.47 : 466.84 = 220.31 : x
  2. Step 2: Convert to fraction form
    338.47/466.84 = 220.31/x
  3. Step 3: Cross multiply
    338.47x = 466.84 × 220.31
  4. Step 4: Simplify right side
    338.47x = 102,850.14
  5. Step 5: Solve for x
    x = 102,850.14/338.47
  6. Step 6: Final answer
    x = 303.87

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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.