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Finding the Fourth Proportional to 416.75, 624.51 and 262.44

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Solution

The fourth proportional to 416.75, 624.51 and 262.44 is: 393.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.75 : 624.51 = 262.44 : x
  2. Step 2: Convert to fraction form
    416.75/624.51 = 262.44/x
  3. Step 3: Cross multiply
    416.75x = 624.51 × 262.44
  4. Step 4: Simplify right side
    416.75x = 163,896.40
  5. Step 5: Solve for x
    x = 163,896.40/416.75
  6. Step 6: Final answer
    x = 393.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.