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Finding the Fourth Proportional to 416.17, 624.41 and 199.60

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Solution

The fourth proportional to 416.17, 624.41 and 199.60 is: 299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.17 : 624.41 = 199.60 : x
  2. Step 2: Convert to fraction form
    416.17/624.41 = 199.60/x
  3. Step 3: Cross multiply
    416.17x = 624.41 × 199.60
  4. Step 4: Simplify right side
    416.17x = 124,629.68
  5. Step 5: Solve for x
    x = 124,629.68/416.17
  6. Step 6: Final answer
    x = 299.47

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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.