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Finding the Fourth Proportional to 537.49, 805.83 and 263.44

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Solution

The fourth proportional to 537.49, 805.83 and 263.44 is: 394.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.49 : 805.83 = 263.44 : x
  2. Step 2: Convert to fraction form
    537.49/805.83 = 263.44/x
  3. Step 3: Cross multiply
    537.49x = 805.83 × 263.44
  4. Step 4: Simplify right side
    537.49x = 212,287.86
  5. Step 5: Solve for x
    x = 212,287.86/537.49
  6. Step 6: Final answer
    x = 394.96

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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.