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Finding the Fourth Proportional to 533.72, 736.20 and 334.68

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Solution

The fourth proportional to 533.72, 736.20 and 334.68 is: 461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.72 : 736.20 = 334.68 : x
  2. Step 2: Convert to fraction form
    533.72/736.20 = 334.68/x
  3. Step 3: Cross multiply
    533.72x = 736.20 × 334.68
  4. Step 4: Simplify right side
    533.72x = 246,391.42
  5. Step 5: Solve for x
    x = 246,391.42/533.72
  6. Step 6: Final answer
    x = 461.65

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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.