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Finding the Fourth Proportional to 538.23, 806.83 and 172.78

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Solution

The fourth proportional to 538.23, 806.83 and 172.78 is: 259.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.23 : 806.83 = 172.78 : x
  2. Step 2: Convert to fraction form
    538.23/806.83 = 172.78/x
  3. Step 3: Cross multiply
    538.23x = 806.83 × 172.78
  4. Step 4: Simplify right side
    538.23x = 139,404.09
  5. Step 5: Solve for x
    x = 139,404.09/538.23
  6. Step 6: Final answer
    x = 259.00

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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.