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Finding the Fourth Proportional to 414.16, 620.92 and 305.36

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Solution

The fourth proportional to 414.16, 620.92 and 305.36 is: 457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.16 : 620.92 = 305.36 : x
  2. Step 2: Convert to fraction form
    414.16/620.92 = 305.36/x
  3. Step 3: Cross multiply
    414.16x = 620.92 × 305.36
  4. Step 4: Simplify right side
    414.16x = 189,604.13
  5. Step 5: Solve for x
    x = 189,604.13/414.16
  6. Step 6: Final answer
    x = 457.80

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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.