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Finding the Fourth Proportional to 533.73, 796.16 and 525.23

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Solution

The fourth proportional to 533.73, 796.16 and 525.23 is: 783.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.73 : 796.16 = 525.23 : x
  2. Step 2: Convert to fraction form
    533.73/796.16 = 525.23/x
  3. Step 3: Cross multiply
    533.73x = 796.16 × 525.23
  4. Step 4: Simplify right side
    533.73x = 418,167.12
  5. Step 5: Solve for x
    x = 418,167.12/533.73
  6. Step 6: Final answer
    x = 783.48

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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.