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Finding the Fourth Proportional to 640.25, 960.42 and 275.04

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Solution

The fourth proportional to 640.25, 960.42 and 275.04 is: 412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.25 : 960.42 = 275.04 : x
  2. Step 2: Convert to fraction form
    640.25/960.42 = 275.04/x
  3. Step 3: Cross multiply
    640.25x = 960.42 × 275.04
  4. Step 4: Simplify right side
    640.25x = 264,153.92
  5. Step 5: Solve for x
    x = 264,153.92/640.25
  6. Step 6: Final answer
    x = 412.58

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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.