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Finding the Fourth Proportional to 518.46, 776.90 and 441.60

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Solution

The fourth proportional to 518.46, 776.90 and 441.60 is: 661.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.46 : 776.90 = 441.60 : x
  2. Step 2: Convert to fraction form
    518.46/776.90 = 441.60/x
  3. Step 3: Cross multiply
    518.46x = 776.90 × 441.60
  4. Step 4: Simplify right side
    518.46x = 343,079.04
  5. Step 5: Solve for x
    x = 343,079.04/518.46
  6. Step 6: Final answer
    x = 661.73

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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.