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Finding the Fourth Proportional to 941.27, 1,411.75 and 324.96

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Solution

The fourth proportional to 941.27, 1,411.75 and 324.96 is: 487.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.27 : 1,411.75 = 324.96 : x
  2. Step 2: Convert to fraction form
    941.27/1,411.75 = 324.96/x
  3. Step 3: Cross multiply
    941.27x = 1,411.75 × 324.96
  4. Step 4: Simplify right side
    941.27x = 458,766.25
  5. Step 5: Solve for x
    x = 458,766.25/941.27
  6. Step 6: Final answer
    x = 487.39

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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.