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Finding the Fourth Proportional to 534.56, 737.76 and 327.44

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Solution

The fourth proportional to 534.56, 737.76 and 327.44 is: 451.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.56 : 737.76 = 327.44 : x
  2. Step 2: Convert to fraction form
    534.56/737.76 = 327.44/x
  3. Step 3: Cross multiply
    534.56x = 737.76 × 327.44
  4. Step 4: Simplify right side
    534.56x = 241,572.13
  5. Step 5: Solve for x
    x = 241,572.13/534.56
  6. Step 6: Final answer
    x = 451.91

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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.