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Finding the Fourth Proportional to 416.83, 625.29 and 211.41

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Solution

The fourth proportional to 416.83, 625.29 and 211.41 is: 317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.83 : 625.29 = 211.41 : x
  2. Step 2: Convert to fraction form
    416.83/625.29 = 211.41/x
  3. Step 3: Cross multiply
    416.83x = 625.29 × 211.41
  4. Step 4: Simplify right side
    416.83x = 132,192.56
  5. Step 5: Solve for x
    x = 132,192.56/416.83
  6. Step 6: Final answer
    x = 317.14

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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.