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Finding the Fourth Proportional to 618.12, 852.71 and 369.36

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Solution

The fourth proportional to 618.12, 852.71 and 369.36 is: 509.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.12 : 852.71 = 369.36 : x
  2. Step 2: Convert to fraction form
    618.12/852.71 = 369.36/x
  3. Step 3: Cross multiply
    618.12x = 852.71 × 369.36
  4. Step 4: Simplify right side
    618.12x = 314,955.12
  5. Step 5: Solve for x
    x = 314,955.12/618.12
  6. Step 6: Final answer
    x = 509.54

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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.