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Finding the Fourth Proportional to 534.43, 737.49 and 298.36

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Solution

The fourth proportional to 534.43, 737.49 and 298.36 is: 411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.43 : 737.49 = 298.36 : x
  2. Step 2: Convert to fraction form
    534.43/737.49 = 298.36/x
  3. Step 3: Cross multiply
    534.43x = 737.49 × 298.36
  4. Step 4: Simplify right side
    534.43x = 220,039.56
  5. Step 5: Solve for x
    x = 220,039.56/534.43
  6. Step 6: Final answer
    x = 411.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.