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Finding the Fourth Proportional to 640.06, 960.22 and 293.50

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Solution

The fourth proportional to 640.06, 960.22 and 293.50 is: 440.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.06 : 960.22 = 293.50 : x
  2. Step 2: Convert to fraction form
    640.06/960.22 = 293.50/x
  3. Step 3: Cross multiply
    640.06x = 960.22 × 293.50
  4. Step 4: Simplify right side
    640.06x = 281,824.57
  5. Step 5: Solve for x
    x = 281,824.57/640.06
  6. Step 6: Final answer
    x = 440.31

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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.