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Finding the Fourth Proportional to 640.37, 960.58 and 293.54

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Solution

The fourth proportional to 640.37, 960.58 and 293.54 is: 440.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.37 : 960.58 = 293.54 : x
  2. Step 2: Convert to fraction form
    640.37/960.58 = 293.54/x
  3. Step 3: Cross multiply
    640.37x = 960.58 × 293.54
  4. Step 4: Simplify right side
    640.37x = 281,972.65
  5. Step 5: Solve for x
    x = 281,972.65/640.37
  6. Step 6: Final answer
    x = 440.33

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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.