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Finding the Fourth Proportional to 618.52, 853.58 and 369.78

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Solution

The fourth proportional to 618.52, 853.58 and 369.78 is: 510.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.52 : 853.58 = 369.78 : x
  2. Step 2: Convert to fraction form
    618.52/853.58 = 369.78/x
  3. Step 3: Cross multiply
    618.52x = 853.58 × 369.78
  4. Step 4: Simplify right side
    618.52x = 315,634.96
  5. Step 5: Solve for x
    x = 315,634.96/618.52
  6. Step 6: Final answer
    x = 510.31

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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.