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Finding the Fourth Proportional to 618.41, 853.54 and 369.84

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Solution

The fourth proportional to 618.41, 853.54 and 369.84 is: 510.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.41 : 853.54 = 369.84 : x
  2. Step 2: Convert to fraction form
    618.41/853.54 = 369.84/x
  3. Step 3: Cross multiply
    618.41x = 853.54 × 369.84
  4. Step 4: Simplify right side
    618.41x = 315,668.97
  5. Step 5: Solve for x
    x = 315,668.97/618.41
  6. Step 6: Final answer
    x = 510.46

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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.