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Finding the Fourth Proportional to 327.71, 490.94 and 316.72

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Solution

The fourth proportional to 327.71, 490.94 and 316.72 is: 474.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.71 : 490.94 = 316.72 : x
  2. Step 2: Convert to fraction form
    327.71/490.94 = 316.72/x
  3. Step 3: Cross multiply
    327.71x = 490.94 × 316.72
  4. Step 4: Simplify right side
    327.71x = 155,488.72
  5. Step 5: Solve for x
    x = 155,488.72/327.71
  6. Step 6: Final answer
    x = 474.47

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Why These Related Problems?

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