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Finding the Fourth Proportional to 516, 773.64 and 444

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Solution

The fourth proportional to 516, 773.64 and 444 is: 665.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    516 : 773.64 = 444 : x
  2. Step 2: Convert to fraction form
    516/773.64 = 444/x
  3. Step 3: Cross multiply
    516x = 773.64 × 444
  4. Step 4: Simplify right side
    516x = 343,496.16
  5. Step 5: Solve for x
    x = 343,496.16/516
  6. Step 6: Final answer
    x = 665.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.