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Finding the Fourth Proportional to 533.62, 795.92 and 517.42

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Solution

The fourth proportional to 533.62, 795.92 and 517.42 is: 771.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.62 : 795.92 = 517.42 : x
  2. Step 2: Convert to fraction form
    533.62/795.92 = 517.42/x
  3. Step 3: Cross multiply
    533.62x = 795.92 × 517.42
  4. Step 4: Simplify right side
    533.62x = 411,824.93
  5. Step 5: Solve for x
    x = 411,824.93/533.62
  6. Step 6: Final answer
    x = 771.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.