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Finding the Fourth Proportional to 496.28, 739.26 and 468.92

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Solution

The fourth proportional to 496.28, 739.26 and 468.92 is: 698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.28 : 739.26 = 468.92 : x
  2. Step 2: Convert to fraction form
    496.28/739.26 = 468.92/x
  3. Step 3: Cross multiply
    496.28x = 739.26 × 468.92
  4. Step 4: Simplify right side
    496.28x = 346,653.80
  5. Step 5: Solve for x
    x = 346,653.80/496.28
  6. Step 6: Final answer
    x = 698.50

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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.