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Finding the Fourth Proportional to 496.86, 745.74 and 253.56

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Solution

The fourth proportional to 496.86, 745.74 and 253.56 is: 380.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.86 : 745.74 = 253.56 : x
  2. Step 2: Convert to fraction form
    496.86/745.74 = 253.56/x
  3. Step 3: Cross multiply
    496.86x = 745.74 × 253.56
  4. Step 4: Simplify right side
    496.86x = 189,087.41
  5. Step 5: Solve for x
    x = 189,087.41/496.86
  6. Step 6: Final answer
    x = 380.57

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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.