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Finding the Fourth Proportional to 640.92, 960.72 and 275.64

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Solution

The fourth proportional to 640.92, 960.72 and 275.64 is: 413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.92 : 960.72 = 275.64 : x
  2. Step 2: Convert to fraction form
    640.92/960.72 = 275.64/x
  3. Step 3: Cross multiply
    640.92x = 960.72 × 275.64
  4. Step 4: Simplify right side
    640.92x = 264,812.86
  5. Step 5: Solve for x
    x = 264,812.86/640.92
  6. Step 6: Final answer
    x = 413.18

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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.