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Finding the Fourth Proportional to 537.84, 806.73 and 172.87

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Solution

The fourth proportional to 537.84, 806.73 and 172.87 is: 259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.84 : 806.73 = 172.87 : x
  2. Step 2: Convert to fraction form
    537.84/806.73 = 172.87/x
  3. Step 3: Cross multiply
    537.84x = 806.73 × 172.87
  4. Step 4: Simplify right side
    537.84x = 139,456.75
  5. Step 5: Solve for x
    x = 139,456.75/537.84
  6. Step 6: Final answer
    x = 259.29

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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.