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Finding the Fourth Proportional to 534.45, 737.54 and 327.45

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Solution

The fourth proportional to 534.45, 737.54 and 327.45 is: 451.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.45 : 737.54 = 327.45 : x
  2. Step 2: Convert to fraction form
    534.45/737.54 = 327.45/x
  3. Step 3: Cross multiply
    534.45x = 737.54 × 327.45
  4. Step 4: Simplify right side
    534.45x = 241,505.84
  5. Step 5: Solve for x
    x = 241,505.84/534.45
  6. Step 6: Final answer
    x = 451.88

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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.