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Finding the Fourth Proportional to 641.24, 961.74 and 208.28

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Solution

The fourth proportional to 641.24, 961.74 and 208.28 is: 312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.24 : 961.74 = 208.28 : x
  2. Step 2: Convert to fraction form
    641.24/961.74 = 208.28/x
  3. Step 3: Cross multiply
    641.24x = 961.74 × 208.28
  4. Step 4: Simplify right side
    641.24x = 200,311.21
  5. Step 5: Solve for x
    x = 200,311.21/641.24
  6. Step 6: Final answer
    x = 312.38

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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.