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Finding the Fourth Proportional to 533.82, 795.24 and 514.23

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Solution

The fourth proportional to 533.82, 795.24 and 514.23 is: 766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.82 : 795.24 = 514.23 : x
  2. Step 2: Convert to fraction form
    533.82/795.24 = 514.23/x
  3. Step 3: Cross multiply
    533.82x = 795.24 × 514.23
  4. Step 4: Simplify right side
    533.82x = 408,936.27
  5. Step 5: Solve for x
    x = 408,936.27/533.82
  6. Step 6: Final answer
    x = 766.06

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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.