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Finding the Fourth Proportional to 618.15, 852.98 and 369.43

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Solution

The fourth proportional to 618.15, 852.98 and 369.43 is: 509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.15 : 852.98 = 369.43 : x
  2. Step 2: Convert to fraction form
    618.15/852.98 = 369.43/x
  3. Step 3: Cross multiply
    618.15x = 852.98 × 369.43
  4. Step 4: Simplify right side
    618.15x = 315,112.42
  5. Step 5: Solve for x
    x = 315,112.42/618.15
  6. Step 6: Final answer
    x = 509.76

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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.