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Finding the Fourth Proportional to 534.27, 737.27 and 298.24

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Solution

The fourth proportional to 534.27, 737.27 and 298.24 is: 411.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.27 : 737.27 = 298.24 : x
  2. Step 2: Convert to fraction form
    534.27/737.27 = 298.24/x
  3. Step 3: Cross multiply
    534.27x = 737.27 × 298.24
  4. Step 4: Simplify right side
    534.27x = 219,883.40
  5. Step 5: Solve for x
    x = 219,883.40/534.27
  6. Step 6: Final answer
    x = 411.56

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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.