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Finding the Fourth Proportional to 533.44, 736.32 and 323.76

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Solution

The fourth proportional to 533.44, 736.32 and 323.76 is: 446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.44 : 736.32 = 323.76 : x
  2. Step 2: Convert to fraction form
    533.44/736.32 = 323.76/x
  3. Step 3: Cross multiply
    533.44x = 736.32 × 323.76
  4. Step 4: Simplify right side
    533.44x = 238,390.96
  5. Step 5: Solve for x
    x = 238,390.96/533.44
  6. Step 6: Final answer
    x = 446.89

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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.