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Finding the Fourth Proportional to 640.46, 960.91 and 316.05

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Solution

The fourth proportional to 640.46, 960.91 and 316.05 is: 474.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.46 : 960.91 = 316.05 : x
  2. Step 2: Convert to fraction form
    640.46/960.91 = 316.05/x
  3. Step 3: Cross multiply
    640.46x = 960.91 × 316.05
  4. Step 4: Simplify right side
    640.46x = 303,694.82
  5. Step 5: Solve for x
    x = 303,694.82/640.46
  6. Step 6: Final answer
    x = 474.19

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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.