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Finding the Fourth Proportional to 618.26, 852.80 and 369.42

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Solution

The fourth proportional to 618.26, 852.80 and 369.42 is: 509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.26 : 852.80 = 369.42 : x
  2. Step 2: Convert to fraction form
    618.26/852.80 = 369.42/x
  3. Step 3: Cross multiply
    618.26x = 852.80 × 369.42
  4. Step 4: Simplify right side
    618.26x = 315,039.53
  5. Step 5: Solve for x
    x = 315,039.53/618.26
  6. Step 6: Final answer
    x = 509.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.