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Finding the Fourth Proportional to 657.25, 985.36 and 327.97

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Solution

The fourth proportional to 657.25, 985.36 and 327.97 is: 491.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.25 : 985.36 = 327.97 : x
  2. Step 2: Convert to fraction form
    657.25/985.36 = 327.97/x
  3. Step 3: Cross multiply
    657.25x = 985.36 × 327.97
  4. Step 4: Simplify right side
    657.25x = 323,168.52
  5. Step 5: Solve for x
    x = 323,168.52/657.25
  6. Step 6: Final answer
    x = 491.70

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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.