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Finding the Fourth Proportional to 533.80, 771.85 and 533.80

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Solution

The fourth proportional to 533.80, 771.85 and 533.80 is: 771.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.80 : 771.85 = 533.80 : x
  2. Step 2: Convert to fraction form
    533.80/771.85 = 533.80/x
  3. Step 3: Cross multiply
    533.80x = 771.85 × 533.80
  4. Step 4: Simplify right side
    533.80x = 412,013.53
  5. Step 5: Solve for x
    x = 412,013.53/533.80
  6. Step 6: Final answer
    x = 771.85

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.