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Finding the Fourth Proportional to 338.47, 467.29 and 214.24

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Solution

The fourth proportional to 338.47, 467.29 and 214.24 is: 295.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.47 : 467.29 = 214.24 : x
  2. Step 2: Convert to fraction form
    338.47/467.29 = 214.24/x
  3. Step 3: Cross multiply
    338.47x = 467.29 × 214.24
  4. Step 4: Simplify right side
    338.47x = 100,112.21
  5. Step 5: Solve for x
    x = 100,112.21/338.47
  6. Step 6: Final answer
    x = 295.78

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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.