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Finding the Fourth Proportional to 559.20, 839.49 and 537.18

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Solution

The fourth proportional to 559.20, 839.49 and 537.18 is: 806.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.20 : 839.49 = 537.18 : x
  2. Step 2: Convert to fraction form
    559.20/839.49 = 537.18/x
  3. Step 3: Cross multiply
    559.20x = 839.49 × 537.18
  4. Step 4: Simplify right side
    559.20x = 450,957.24
  5. Step 5: Solve for x
    x = 450,957.24/559.20
  6. Step 6: Final answer
    x = 806.43

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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.