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Finding the Fourth Proportional to 641.28, 961.92 and 316.32

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Solution

The fourth proportional to 641.28, 961.92 and 316.32 is: 474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.28 : 961.92 = 316.32 : x
  2. Step 2: Convert to fraction form
    641.28/961.92 = 316.32/x
  3. Step 3: Cross multiply
    641.28x = 961.92 × 316.32
  4. Step 4: Simplify right side
    641.28x = 304,274.53
  5. Step 5: Solve for x
    x = 304,274.53/641.28
  6. Step 6: Final answer
    x = 474.48

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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.