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Finding the Fourth Proportional to 467.97, 646.97 and 351.33

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Solution

The fourth proportional to 467.97, 646.97 and 351.33 is: 485.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.97 : 646.97 = 351.33 : x
  2. Step 2: Convert to fraction form
    467.97/646.97 = 351.33/x
  3. Step 3: Cross multiply
    467.97x = 646.97 × 351.33
  4. Step 4: Simplify right side
    467.97x = 227,298.21
  5. Step 5: Solve for x
    x = 227,298.21/467.97
  6. Step 6: Final answer
    x = 485.71

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