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Finding the Fourth Proportional to 641.61, 960.84 and 409.82

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Solution

The fourth proportional to 641.61, 960.84 and 409.82 is: 613.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.61 : 960.84 = 409.82 : x
  2. Step 2: Convert to fraction form
    641.61/960.84 = 409.82/x
  3. Step 3: Cross multiply
    641.61x = 960.84 × 409.82
  4. Step 4: Simplify right side
    641.61x = 393,766.64
  5. Step 5: Solve for x
    x = 393,766.64/641.61
  6. Step 6: Final answer
    x = 613.72

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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.