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Finding the Fourth Proportional to 414.17, 621.39 and 221.75

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Solution

The fourth proportional to 414.17, 621.39 and 221.75 is: 332.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.17 : 621.39 = 221.75 : x
  2. Step 2: Convert to fraction form
    414.17/621.39 = 221.75/x
  3. Step 3: Cross multiply
    414.17x = 621.39 × 221.75
  4. Step 4: Simplify right side
    414.17x = 137,793.23
  5. Step 5: Solve for x
    x = 137,793.23/414.17
  6. Step 6: Final answer
    x = 332.70

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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.