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Finding the Fourth Proportional to 618.56, 927.75 and 344.48

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Solution

The fourth proportional to 618.56, 927.75 and 344.48 is: 516.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.56 : 927.75 = 344.48 : x
  2. Step 2: Convert to fraction form
    618.56/927.75 = 344.48/x
  3. Step 3: Cross multiply
    618.56x = 927.75 × 344.48
  4. Step 4: Simplify right side
    618.56x = 319,591.32
  5. Step 5: Solve for x
    x = 319,591.32/618.56
  6. Step 6: Final answer
    x = 516.67

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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.