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Finding the Fourth Proportional to 538.98, 809.07 and 356.73

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Solution

The fourth proportional to 538.98, 809.07 and 356.73 is: 535.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.98 : 809.07 = 356.73 : x
  2. Step 2: Convert to fraction form
    538.98/809.07 = 356.73/x
  3. Step 3: Cross multiply
    538.98x = 809.07 × 356.73
  4. Step 4: Simplify right side
    538.98x = 288,619.54
  5. Step 5: Solve for x
    x = 288,619.54/538.98
  6. Step 6: Final answer
    x = 535.49

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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.