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Finding the Fourth Proportional to 538.45, 807.66 and 173.21

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Solution

The fourth proportional to 538.45, 807.66 and 173.21 is: 259.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.45 : 807.66 = 173.21 : x
  2. Step 2: Convert to fraction form
    538.45/807.66 = 173.21/x
  3. Step 3: Cross multiply
    538.45x = 807.66 × 173.21
  4. Step 4: Simplify right side
    538.45x = 139,890.75
  5. Step 5: Solve for x
    x = 139,890.75/538.45
  6. Step 6: Final answer
    x = 259.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.