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Finding the Fourth Proportional to 496.97, 745.77 and 208.41

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Solution

The fourth proportional to 496.97, 745.77 and 208.41 is: 312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.97 : 745.77 = 208.41 : x
  2. Step 2: Convert to fraction form
    496.97/745.77 = 208.41/x
  3. Step 3: Cross multiply
    496.97x = 745.77 × 208.41
  4. Step 4: Simplify right side
    496.97x = 155,423.91
  5. Step 5: Solve for x
    x = 155,423.91/496.97
  6. Step 6: Final answer
    x = 312.74

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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.