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Finding the Fourth Proportional to 665.50, 917.94 and 444.83

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Solution

The fourth proportional to 665.50, 917.94 and 444.83 is: 613.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.50 : 917.94 = 444.83 : x
  2. Step 2: Convert to fraction form
    665.50/917.94 = 444.83/x
  3. Step 3: Cross multiply
    665.50x = 917.94 × 444.83
  4. Step 4: Simplify right side
    665.50x = 408,327.25
  5. Step 5: Solve for x
    x = 408,327.25/665.50
  6. Step 6: Final answer
    x = 613.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.