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Finding the Fourth Proportional to 641.08, 960.90 and 275.68

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Solution

The fourth proportional to 641.08, 960.90 and 275.68 is: 413.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.08 : 960.90 = 275.68 : x
  2. Step 2: Convert to fraction form
    641.08/960.90 = 275.68/x
  3. Step 3: Cross multiply
    641.08x = 960.90 × 275.68
  4. Step 4: Simplify right side
    641.08x = 264,900.91
  5. Step 5: Solve for x
    x = 264,900.91/641.08
  6. Step 6: Final answer
    x = 413.21

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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.