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Finding the Fourth Proportional to 618.26, 852.93 and 369.50

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Solution

The fourth proportional to 618.26, 852.93 and 369.50 is: 509.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.26 : 852.93 = 369.50 : x
  2. Step 2: Convert to fraction form
    618.26/852.93 = 369.50/x
  3. Step 3: Cross multiply
    618.26x = 852.93 × 369.50
  4. Step 4: Simplify right side
    618.26x = 315,153.37
  5. Step 5: Solve for x
    x = 315,153.37/618.26
  6. Step 6: Final answer
    x = 509.75

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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.