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Finding the Fourth Proportional to 853.96, 1,280.82 and 237.71

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Solution

The fourth proportional to 853.96, 1,280.82 and 237.71 is: 356.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.96 : 1,280.82 = 237.71 : x
  2. Step 2: Convert to fraction form
    853.96/1,280.82 = 237.71/x
  3. Step 3: Cross multiply
    853.96x = 1,280.82 × 237.71
  4. Step 4: Simplify right side
    853.96x = 304,463.72
  5. Step 5: Solve for x
    x = 304,463.72/853.96
  6. Step 6: Final answer
    x = 356.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.