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Finding the Fourth Proportional to 416.11, 624.24 and 199.69

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Solution

The fourth proportional to 416.11, 624.24 and 199.69 is: 299.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.11 : 624.24 = 199.69 : x
  2. Step 2: Convert to fraction form
    416.11/624.24 = 199.69/x
  3. Step 3: Cross multiply
    416.11x = 624.24 × 199.69
  4. Step 4: Simplify right side
    416.11x = 124,654.49
  5. Step 5: Solve for x
    x = 124,654.49/416.11
  6. Step 6: Final answer
    x = 299.57

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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.