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Finding the Fourth Proportional to 338.51, 467.04 and 220.49

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Solution

The fourth proportional to 338.51, 467.04 and 220.49 is: 304.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.51 : 467.04 = 220.49 : x
  2. Step 2: Convert to fraction form
    338.51/467.04 = 220.49/x
  3. Step 3: Cross multiply
    338.51x = 467.04 × 220.49
  4. Step 4: Simplify right side
    338.51x = 102,977.65
  5. Step 5: Solve for x
    x = 102,977.65/338.51
  6. Step 6: Final answer
    x = 304.21

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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.