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Finding the Fourth Proportional to 656.89, 985.47 and 218.27

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Solution

The fourth proportional to 656.89, 985.47 and 218.27 is: 327.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.89 : 985.47 = 218.27 : x
  2. Step 2: Convert to fraction form
    656.89/985.47 = 218.27/x
  3. Step 3: Cross multiply
    656.89x = 985.47 × 218.27
  4. Step 4: Simplify right side
    656.89x = 215,098.54
  5. Step 5: Solve for x
    x = 215,098.54/656.89
  6. Step 6: Final answer
    x = 327.45

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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.