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Finding the Fourth Proportional to 608.46, 911.60 and 415.14

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Solution

The fourth proportional to 608.46, 911.60 and 415.14 is: 621.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.46 : 911.60 = 415.14 : x
  2. Step 2: Convert to fraction form
    608.46/911.60 = 415.14/x
  3. Step 3: Cross multiply
    608.46x = 911.60 × 415.14
  4. Step 4: Simplify right side
    608.46x = 378,440.02
  5. Step 5: Solve for x
    x = 378,440.02/608.46
  6. Step 6: Final answer
    x = 621.97

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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.