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Finding the Fourth Proportional to 533.27, 735.86 and 323.50

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Solution

The fourth proportional to 533.27, 735.86 and 323.50 is: 446.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.27 : 735.86 = 323.50 : x
  2. Step 2: Convert to fraction form
    533.27/735.86 = 323.50/x
  3. Step 3: Cross multiply
    533.27x = 735.86 × 323.50
  4. Step 4: Simplify right side
    533.27x = 238,047.25
  5. Step 5: Solve for x
    x = 238,047.25/533.27
  6. Step 6: Final answer
    x = 446.39

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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.