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Finding the Fourth Proportional to 883.24, 1,324.86 and 306.11

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Solution

The fourth proportional to 883.24, 1,324.86 and 306.11 is: 459.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.24 : 1,324.86 = 306.11 : x
  2. Step 2: Convert to fraction form
    883.24/1,324.86 = 306.11/x
  3. Step 3: Cross multiply
    883.24x = 1,324.86 × 306.11
  4. Step 4: Simplify right side
    883.24x = 405,555.06
  5. Step 5: Solve for x
    x = 405,555.06/883.24
  6. Step 6: Final answer
    x = 459.17

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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.