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Finding the Fourth Proportional to 618.95, 853.26 and 382.74

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Solution

The fourth proportional to 618.95, 853.26 and 382.74 is: 527.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.95 : 853.26 = 382.74 : x
  2. Step 2: Convert to fraction form
    618.95/853.26 = 382.74/x
  3. Step 3: Cross multiply
    618.95x = 853.26 × 382.74
  4. Step 4: Simplify right side
    618.95x = 326,576.73
  5. Step 5: Solve for x
    x = 326,576.73/618.95
  6. Step 6: Final answer
    x = 527.63

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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.