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Finding the Fourth Proportional to 533.40, 796.23 and 496.92

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Solution

The fourth proportional to 533.40, 796.23 and 496.92 is: 741.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.40 : 796.23 = 496.92 : x
  2. Step 2: Convert to fraction form
    533.40/796.23 = 496.92/x
  3. Step 3: Cross multiply
    533.40x = 796.23 × 496.92
  4. Step 4: Simplify right side
    533.40x = 395,662.61
  5. Step 5: Solve for x
    x = 395,662.61/533.40
  6. Step 6: Final answer
    x = 741.77

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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.