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Finding the Fourth Proportional to 416.98, 626.01 and 254.98

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Solution

The fourth proportional to 416.98, 626.01 and 254.98 is: 382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.98 : 626.01 = 254.98 : x
  2. Step 2: Convert to fraction form
    416.98/626.01 = 254.98/x
  3. Step 3: Cross multiply
    416.98x = 626.01 × 254.98
  4. Step 4: Simplify right side
    416.98x = 159,620.03
  5. Step 5: Solve for x
    x = 159,620.03/416.98
  6. Step 6: Final answer
    x = 382.80

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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.