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Finding the Fourth Proportional to 414.02, 621.24 and 182.96

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Solution

The fourth proportional to 414.02, 621.24 and 182.96 is: 274.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.02 : 621.24 = 182.96 : x
  2. Step 2: Convert to fraction form
    414.02/621.24 = 182.96/x
  3. Step 3: Cross multiply
    414.02x = 621.24 × 182.96
  4. Step 4: Simplify right side
    414.02x = 113,662.07
  5. Step 5: Solve for x
    x = 113,662.07/414.02
  6. Step 6: Final answer
    x = 274.53

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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.