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Finding the Fourth Proportional to 533.96, 737.14 and 327.08

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Solution

The fourth proportional to 533.96, 737.14 and 327.08 is: 451.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.96 : 737.14 = 327.08 : x
  2. Step 2: Convert to fraction form
    533.96/737.14 = 327.08/x
  3. Step 3: Cross multiply
    533.96x = 737.14 × 327.08
  4. Step 4: Simplify right side
    533.96x = 241,103.75
  5. Step 5: Solve for x
    x = 241,103.75/533.96
  6. Step 6: Final answer
    x = 451.54

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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.