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Finding the Fourth Proportional to 414.33, 621.85 and 219.47

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Solution

The fourth proportional to 414.33, 621.85 and 219.47 is: 329.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.33 : 621.85 = 219.47 : x
  2. Step 2: Convert to fraction form
    414.33/621.85 = 219.47/x
  3. Step 3: Cross multiply
    414.33x = 621.85 × 219.47
  4. Step 4: Simplify right side
    414.33x = 136,477.47
  5. Step 5: Solve for x
    x = 136,477.47/414.33
  6. Step 6: Final answer
    x = 329.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.