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Finding the Fourth Proportional to 415.73, 626.57 and 411.62

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Solution

The fourth proportional to 415.73, 626.57 and 411.62 is: 620.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.73 : 626.57 = 411.62 : x
  2. Step 2: Convert to fraction form
    415.73/626.57 = 411.62/x
  3. Step 3: Cross multiply
    415.73x = 626.57 × 411.62
  4. Step 4: Simplify right side
    415.73x = 257,905.10
  5. Step 5: Solve for x
    x = 257,905.10/415.73
  6. Step 6: Final answer
    x = 620.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.