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Finding the Fourth Proportional to 641.60, 962.72 and 208.96

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Solution

The fourth proportional to 641.60, 962.72 and 208.96 is: 313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.60 : 962.72 = 208.96 : x
  2. Step 2: Convert to fraction form
    641.60/962.72 = 208.96/x
  3. Step 3: Cross multiply
    641.60x = 962.72 × 208.96
  4. Step 4: Simplify right side
    641.60x = 201,169.97
  5. Step 5: Solve for x
    x = 201,169.97/641.60
  6. Step 6: Final answer
    x = 313.54

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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.