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Finding the Fourth Proportional to 657.43, 986.27 and 218.71

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Solution

The fourth proportional to 657.43, 986.27 and 218.71 is: 328.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.43 : 986.27 = 218.71 : x
  2. Step 2: Convert to fraction form
    657.43/986.27 = 218.71/x
  3. Step 3: Cross multiply
    657.43x = 986.27 × 218.71
  4. Step 4: Simplify right side
    657.43x = 215,707.11
  5. Step 5: Solve for x
    x = 215,707.11/657.43
  6. Step 6: Final answer
    x = 328.11

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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.