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Finding the Fourth Proportional to 640.36, 960.34 and 274.92

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Solution

The fourth proportional to 640.36, 960.34 and 274.92 is: 412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.36 : 960.34 = 274.92 : x
  2. Step 2: Convert to fraction form
    640.36/960.34 = 274.92/x
  3. Step 3: Cross multiply
    640.36x = 960.34 × 274.92
  4. Step 4: Simplify right side
    640.36x = 264,010.50
  5. Step 5: Solve for x
    x = 264,010.50/640.36
  6. Step 6: Final answer
    x = 412.28

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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.