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Finding the Fourth Proportional to 537.56, 806.43 and 263.68

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Solution

The fourth proportional to 537.56, 806.43 and 263.68 is: 395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.56 : 806.43 = 263.68 : x
  2. Step 2: Convert to fraction form
    537.56/806.43 = 263.68/x
  3. Step 3: Cross multiply
    537.56x = 806.43 × 263.68
  4. Step 4: Simplify right side
    537.56x = 212,639.46
  5. Step 5: Solve for x
    x = 212,639.46/537.56
  6. Step 6: Final answer
    x = 395.56

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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.