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Finding the Fourth Proportional to 867.53, 1,301.20 and 218.27

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Solution

The fourth proportional to 867.53, 1,301.20 and 218.27 is: 327.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.53 : 1,301.20 = 218.27 : x
  2. Step 2: Convert to fraction form
    867.53/1,301.20 = 218.27/x
  3. Step 3: Cross multiply
    867.53x = 1,301.20 × 218.27
  4. Step 4: Simplify right side
    867.53x = 284,012.92
  5. Step 5: Solve for x
    x = 284,012.92/867.53
  6. Step 6: Final answer
    x = 327.38

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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.