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Finding the Fourth Proportional to 533.46, 736.09 and 312.41

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Solution

The fourth proportional to 533.46, 736.09 and 312.41 is: 431.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.46 : 736.09 = 312.41 : x
  2. Step 2: Convert to fraction form
    533.46/736.09 = 312.41/x
  3. Step 3: Cross multiply
    533.46x = 736.09 × 312.41
  4. Step 4: Simplify right side
    533.46x = 229,961.88
  5. Step 5: Solve for x
    x = 229,961.88/533.46
  6. Step 6: Final answer
    x = 431.08

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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.