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Finding the Fourth Proportional to 499.44, 753.92 and 496.56

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Solution

The fourth proportional to 499.44, 753.92 and 496.56 is: 749.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.44 : 753.92 = 496.56 : x
  2. Step 2: Convert to fraction form
    499.44/753.92 = 496.56/x
  3. Step 3: Cross multiply
    499.44x = 753.92 × 496.56
  4. Step 4: Simplify right side
    499.44x = 374,366.52
  5. Step 5: Solve for x
    x = 374,366.52/499.44
  6. Step 6: Final answer
    x = 749.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.