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Finding the Fourth Proportional to 481.71, 664.82 and 316.06

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Solution

The fourth proportional to 481.71, 664.82 and 316.06 is: 436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.71 : 664.82 = 316.06 : x
  2. Step 2: Convert to fraction form
    481.71/664.82 = 316.06/x
  3. Step 3: Cross multiply
    481.71x = 664.82 × 316.06
  4. Step 4: Simplify right side
    481.71x = 210,123.01
  5. Step 5: Solve for x
    x = 210,123.01/481.71
  6. Step 6: Final answer
    x = 436.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.