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Finding the Fourth Proportional to 640.79, 960.27 and 316.38

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Solution

The fourth proportional to 640.79, 960.27 and 316.38 is: 474.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.79 : 960.27 = 316.38 : x
  2. Step 2: Convert to fraction form
    640.79/960.27 = 316.38/x
  3. Step 3: Cross multiply
    640.79x = 960.27 × 316.38
  4. Step 4: Simplify right side
    640.79x = 303,810.22
  5. Step 5: Solve for x
    x = 303,810.22/640.79
  6. Step 6: Final answer
    x = 474.12

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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.