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Finding the Fourth Proportional to 496.90, 745.71 and 208.42

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Solution

The fourth proportional to 496.90, 745.71 and 208.42 is: 312.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.90 : 745.71 = 208.42 : x
  2. Step 2: Convert to fraction form
    496.90/745.71 = 208.42/x
  3. Step 3: Cross multiply
    496.90x = 745.71 × 208.42
  4. Step 4: Simplify right side
    496.90x = 155,420.88
  5. Step 5: Solve for x
    x = 155,420.88/496.90
  6. Step 6: Final answer
    x = 312.78

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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.