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Finding the Fourth Proportional to 533.43, 735.34 and 375.55

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Solution

The fourth proportional to 533.43, 735.34 and 375.55 is: 517.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.43 : 735.34 = 375.55 : x
  2. Step 2: Convert to fraction form
    533.43/735.34 = 375.55/x
  3. Step 3: Cross multiply
    533.43x = 735.34 × 375.55
  4. Step 4: Simplify right side
    533.43x = 276,151.38
  5. Step 5: Solve for x
    x = 276,151.38/533.43
  6. Step 6: Final answer
    x = 517.69

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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.