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Finding the Fourth Proportional to 416.19, 624.75 and 233.73

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Solution

The fourth proportional to 416.19, 624.75 and 233.73 is: 350.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.19 : 624.75 = 233.73 : x
  2. Step 2: Convert to fraction form
    416.19/624.75 = 233.73/x
  3. Step 3: Cross multiply
    416.19x = 624.75 × 233.73
  4. Step 4: Simplify right side
    416.19x = 146,022.82
  5. Step 5: Solve for x
    x = 146,022.82/416.19
  6. Step 6: Final answer
    x = 350.86

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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.