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Finding the Fourth Proportional to 533.50, 796.49 and 456.49

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Solution

The fourth proportional to 533.50, 796.49 and 456.49 is: 681.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.50 : 796.49 = 456.49 : x
  2. Step 2: Convert to fraction form
    533.50/796.49 = 456.49/x
  3. Step 3: Cross multiply
    533.50x = 796.49 × 456.49
  4. Step 4: Simplify right side
    533.50x = 363,589.72
  5. Step 5: Solve for x
    x = 363,589.72/533.50
  6. Step 6: Final answer
    x = 681.52

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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.