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Finding the Fourth Proportional to 416.28, 622.82 and 305.86

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Solution

The fourth proportional to 416.28, 622.82 and 305.86 is: 457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.28 : 622.82 = 305.86 : x
  2. Step 2: Convert to fraction form
    416.28/622.82 = 305.86/x
  3. Step 3: Cross multiply
    416.28x = 622.82 × 305.86
  4. Step 4: Simplify right side
    416.28x = 190,495.73
  5. Step 5: Solve for x
    x = 190,495.73/416.28
  6. Step 6: Final answer
    x = 457.61

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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.