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Finding the Fourth Proportional to 640.61, 960.23 and 229.64

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Solution

The fourth proportional to 640.61, 960.23 and 229.64 is: 344.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.61 : 960.23 = 229.64 : x
  2. Step 2: Convert to fraction form
    640.61/960.23 = 229.64/x
  3. Step 3: Cross multiply
    640.61x = 960.23 × 229.64
  4. Step 4: Simplify right side
    640.61x = 220,502.34
  5. Step 5: Solve for x
    x = 220,502.34/640.61
  6. Step 6: Final answer
    x = 344.21

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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.