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Finding the Fourth Proportional to 496.61, 743.30 and 366.56

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Solution

The fourth proportional to 496.61, 743.30 and 366.56 is: 548.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.61 : 743.30 = 366.56 : x
  2. Step 2: Convert to fraction form
    496.61/743.30 = 366.56/x
  3. Step 3: Cross multiply
    496.61x = 743.30 × 366.56
  4. Step 4: Simplify right side
    496.61x = 272,464.05
  5. Step 5: Solve for x
    x = 272,464.05/496.61
  6. Step 6: Final answer
    x = 548.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.