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Finding the Fourth Proportional to 533.80, 730.73 and 517.24

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Solution

The fourth proportional to 533.80, 730.73 and 517.24 is: 708.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.80 : 730.73 = 517.24 : x
  2. Step 2: Convert to fraction form
    533.80/730.73 = 517.24/x
  3. Step 3: Cross multiply
    533.80x = 730.73 × 517.24
  4. Step 4: Simplify right side
    533.80x = 377,962.79
  5. Step 5: Solve for x
    x = 377,962.79/533.80
  6. Step 6: Final answer
    x = 708.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.