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Finding the Fourth Proportional to 640.44, 960.78 and 207.54

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Solution

The fourth proportional to 640.44, 960.78 and 207.54 is: 311.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.44 : 960.78 = 207.54 : x
  2. Step 2: Convert to fraction form
    640.44/960.78 = 207.54/x
  3. Step 3: Cross multiply
    640.44x = 960.78 × 207.54
  4. Step 4: Simplify right side
    640.44x = 199,400.28
  5. Step 5: Solve for x
    x = 199,400.28/640.44
  6. Step 6: Final answer
    x = 311.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.