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Finding the Fourth Proportional to 640.16, 960.32 and 229.22

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Solution

The fourth proportional to 640.16, 960.32 and 229.22 is: 343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.16 : 960.32 = 229.22 : x
  2. Step 2: Convert to fraction form
    640.16/960.32 = 229.22/x
  3. Step 3: Cross multiply
    640.16x = 960.32 × 229.22
  4. Step 4: Simplify right side
    640.16x = 220,118.60
  5. Step 5: Solve for x
    x = 220,118.60/640.16
  6. Step 6: Final answer
    x = 343.85

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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.