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Finding the Fourth Proportional to 538.05, 806.83 and 172.74

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Solution

The fourth proportional to 538.05, 806.83 and 172.74 is: 259.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.05 : 806.83 = 172.74 : x
  2. Step 2: Convert to fraction form
    538.05/806.83 = 172.74/x
  3. Step 3: Cross multiply
    538.05x = 806.83 × 172.74
  4. Step 4: Simplify right side
    538.05x = 139,374.41
  5. Step 5: Solve for x
    x = 139,374.41/538.05
  6. Step 6: Final answer
    x = 259.03

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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.