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Finding the Fourth Proportional to 496.38, 744.12 and 366.06

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Solution

The fourth proportional to 496.38, 744.12 and 366.06 is: 548.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.38 : 744.12 = 366.06 : x
  2. Step 2: Convert to fraction form
    496.38/744.12 = 366.06/x
  3. Step 3: Cross multiply
    496.38x = 744.12 × 366.06
  4. Step 4: Simplify right side
    496.38x = 272,392.57
  5. Step 5: Solve for x
    x = 272,392.57/496.38
  6. Step 6: Final answer
    x = 548.76

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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.