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Finding the Fourth Proportional to 416.64, 624.41 and 211.09

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Solution

The fourth proportional to 416.64, 624.41 and 211.09 is: 316.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.64 : 624.41 = 211.09 : x
  2. Step 2: Convert to fraction form
    416.64/624.41 = 211.09/x
  3. Step 3: Cross multiply
    416.64x = 624.41 × 211.09
  4. Step 4: Simplify right side
    416.64x = 131,806.71
  5. Step 5: Solve for x
    x = 131,806.71/416.64
  6. Step 6: Final answer
    x = 316.36

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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.