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Finding the Fourth Proportional to 539.44, 809.10 and 149.47

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Solution

The fourth proportional to 539.44, 809.10 and 149.47 is: 224.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.44 : 809.10 = 149.47 : x
  2. Step 2: Convert to fraction form
    539.44/809.10 = 149.47/x
  3. Step 3: Cross multiply
    539.44x = 809.10 × 149.47
  4. Step 4: Simplify right side
    539.44x = 120,936.18
  5. Step 5: Solve for x
    x = 120,936.18/539.44
  6. Step 6: Final answer
    x = 224.19

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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.