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Finding the Fourth Proportional to 416.67, 625.05 and 200.23

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Solution

The fourth proportional to 416.67, 625.05 and 200.23 is: 300.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.67 : 625.05 = 200.23 : x
  2. Step 2: Convert to fraction form
    416.67/625.05 = 200.23/x
  3. Step 3: Cross multiply
    416.67x = 625.05 × 200.23
  4. Step 4: Simplify right side
    416.67x = 125,153.76
  5. Step 5: Solve for x
    x = 125,153.76/416.67
  6. Step 6: Final answer
    x = 300.37

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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.