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Finding the Fourth Proportional to 414.46, 621.74 and 338.09

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Solution

The fourth proportional to 414.46, 621.74 and 338.09 is: 507.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.46 : 621.74 = 338.09 : x
  2. Step 2: Convert to fraction form
    414.46/621.74 = 338.09/x
  3. Step 3: Cross multiply
    414.46x = 621.74 × 338.09
  4. Step 4: Simplify right side
    414.46x = 210,201.81
  5. Step 5: Solve for x
    x = 210,201.81/414.46
  6. Step 6: Final answer
    x = 507.18

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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.