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Finding the Fourth Proportional to 641.44, 962.34 and 208.54

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Solution

The fourth proportional to 641.44, 962.34 and 208.54 is: 312.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.44 : 962.34 = 208.54 : x
  2. Step 2: Convert to fraction form
    641.44/962.34 = 208.54/x
  3. Step 3: Cross multiply
    641.44x = 962.34 × 208.54
  4. Step 4: Simplify right side
    641.44x = 200,686.38
  5. Step 5: Solve for x
    x = 200,686.38/641.44
  6. Step 6: Final answer
    x = 312.87

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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.