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Finding the Fourth Proportional to 414.83, 622.25 and 252.19

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Solution

The fourth proportional to 414.83, 622.25 and 252.19 is: 378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.83 : 622.25 = 252.19 : x
  2. Step 2: Convert to fraction form
    414.83/622.25 = 252.19/x
  3. Step 3: Cross multiply
    414.83x = 622.25 × 252.19
  4. Step 4: Simplify right side
    414.83x = 156,925.23
  5. Step 5: Solve for x
    x = 156,925.23/414.83
  6. Step 6: Final answer
    x = 378.29

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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.