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Finding the Fourth Proportional to 416.85, 624.36 and 199.97

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Solution

The fourth proportional to 416.85, 624.36 and 199.97 is: 299.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.85 : 624.36 = 199.97 : x
  2. Step 2: Convert to fraction form
    416.85/624.36 = 199.97/x
  3. Step 3: Cross multiply
    416.85x = 624.36 × 199.97
  4. Step 4: Simplify right side
    416.85x = 124,852.11
  5. Step 5: Solve for x
    x = 124,852.11/416.85
  6. Step 6: Final answer
    x = 299.52

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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.