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Finding the Fourth Proportional to 533.22, 796.12 and 500.42

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Solution

The fourth proportional to 533.22, 796.12 and 500.42 is: 747.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.22 : 796.12 = 500.42 : x
  2. Step 2: Convert to fraction form
    533.22/796.12 = 500.42/x
  3. Step 3: Cross multiply
    533.22x = 796.12 × 500.42
  4. Step 4: Simplify right side
    533.22x = 398,394.37
  5. Step 5: Solve for x
    x = 398,394.37/533.22
  6. Step 6: Final answer
    x = 747.15

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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.