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Finding the Fourth Proportional to 883.48, 1,324.94 and 306.22

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Solution

The fourth proportional to 883.48, 1,324.94 and 306.22 is: 459.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.48 : 1,324.94 = 306.22 : x
  2. Step 2: Convert to fraction form
    883.48/1,324.94 = 306.22/x
  3. Step 3: Cross multiply
    883.48x = 1,324.94 × 306.22
  4. Step 4: Simplify right side
    883.48x = 405,723.13
  5. Step 5: Solve for x
    x = 405,723.13/883.48
  6. Step 6: Final answer
    x = 459.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.