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Finding the Fourth Proportional to 606.46, 910.19 and 433.54

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Solution

The fourth proportional to 606.46, 910.19 and 433.54 is: 650.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.46 : 910.19 = 433.54 : x
  2. Step 2: Convert to fraction form
    606.46/910.19 = 433.54/x
  3. Step 3: Cross multiply
    606.46x = 910.19 × 433.54
  4. Step 4: Simplify right side
    606.46x = 394,603.77
  5. Step 5: Solve for x
    x = 394,603.77/606.46
  6. Step 6: Final answer
    x = 650.67

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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.