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Finding the Fourth Proportional to 537.69, 806.33 and 263.60

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Solution

The fourth proportional to 537.69, 806.33 and 263.60 is: 395.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.69 : 806.33 = 263.60 : x
  2. Step 2: Convert to fraction form
    537.69/806.33 = 263.60/x
  3. Step 3: Cross multiply
    537.69x = 806.33 × 263.60
  4. Step 4: Simplify right side
    537.69x = 212,543.24
  5. Step 5: Solve for x
    x = 212,543.24/537.69
  6. Step 6: Final answer
    x = 395.29

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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.