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Finding the Fourth Proportional to 416.94, 624.80 and 200.27

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Solution

The fourth proportional to 416.94, 624.80 and 200.27 is: 300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.94 : 624.80 = 200.27 : x
  2. Step 2: Convert to fraction form
    416.94/624.80 = 200.27/x
  3. Step 3: Cross multiply
    416.94x = 624.80 × 200.27
  4. Step 4: Simplify right side
    416.94x = 125,124.57
  5. Step 5: Solve for x
    x = 125,124.57/416.94
  6. Step 6: Final answer
    x = 300.10

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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.