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Finding the Fourth Proportional to 416.56, 575.22 and 329.62

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Solution

The fourth proportional to 416.56, 575.22 and 329.62 is: 455.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.56 : 575.22 = 329.62 : x
  2. Step 2: Convert to fraction form
    416.56/575.22 = 329.62/x
  3. Step 3: Cross multiply
    416.56x = 575.22 × 329.62
  4. Step 4: Simplify right side
    416.56x = 189,604.02
  5. Step 5: Solve for x
    x = 189,604.02/416.56
  6. Step 6: Final answer
    x = 455.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.