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Finding the Fourth Proportional to 519.44, 777.54 and 441.68

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Solution

The fourth proportional to 519.44, 777.54 and 441.68 is: 661.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.44 : 777.54 = 441.68 : x
  2. Step 2: Convert to fraction form
    519.44/777.54 = 441.68/x
  3. Step 3: Cross multiply
    519.44x = 777.54 × 441.68
  4. Step 4: Simplify right side
    519.44x = 343,423.87
  5. Step 5: Solve for x
    x = 343,423.87/519.44
  6. Step 6: Final answer
    x = 661.14

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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.