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Finding the Fourth Proportional to 641.76, 962.74 and 208.82

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Solution

The fourth proportional to 641.76, 962.74 and 208.82 is: 313.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.76 : 962.74 = 208.82 : x
  2. Step 2: Convert to fraction form
    641.76/962.74 = 208.82/x
  3. Step 3: Cross multiply
    641.76x = 962.74 × 208.82
  4. Step 4: Simplify right side
    641.76x = 201,034.55
  5. Step 5: Solve for x
    x = 201,034.55/641.76
  6. Step 6: Final answer
    x = 313.26

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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.