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Finding the Fourth Proportional to 533.72, 736.36 and 323.82

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Solution

The fourth proportional to 533.72, 736.36 and 323.82 is: 446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.72 : 736.36 = 323.82 : x
  2. Step 2: Convert to fraction form
    533.72/736.36 = 323.82/x
  3. Step 3: Cross multiply
    533.72x = 736.36 × 323.82
  4. Step 4: Simplify right side
    533.72x = 238,448.10
  5. Step 5: Solve for x
    x = 238,448.10/533.72
  6. Step 6: Final answer
    x = 446.77

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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.