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Finding the Fourth Proportional to 539.63, 809.40 and 174.41

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Solution

The fourth proportional to 539.63, 809.40 and 174.41 is: 261.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.63 : 809.40 = 174.41 : x
  2. Step 2: Convert to fraction form
    539.63/809.40 = 174.41/x
  3. Step 3: Cross multiply
    539.63x = 809.40 × 174.41
  4. Step 4: Simplify right side
    539.63x = 141,163.41
  5. Step 5: Solve for x
    x = 141,163.41/539.63
  6. Step 6: Final answer
    x = 261.60

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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.