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Finding the Fourth Proportional to 777, 1,165.96 and 344.16

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Solution

The fourth proportional to 777, 1,165.96 and 344.16 is: 516.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    777 : 1,165.96 = 344.16 : x
  2. Step 2: Convert to fraction form
    777/1,165.96 = 344.16/x
  3. Step 3: Cross multiply
    777x = 1,165.96 × 344.16
  4. Step 4: Simplify right side
    777x = 401,275.93
  5. Step 5: Solve for x
    x = 401,275.93/777
  6. Step 6: Final answer
    x = 516.44

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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.