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Finding the Fourth Proportional to 941.20, 1,411.89 and 324.95

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Solution

The fourth proportional to 941.20, 1,411.89 and 324.95 is: 487.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.20 : 1,411.89 = 324.95 : x
  2. Step 2: Convert to fraction form
    941.20/1,411.89 = 324.95/x
  3. Step 3: Cross multiply
    941.20x = 1,411.89 × 324.95
  4. Step 4: Simplify right side
    941.20x = 458,786.60
  5. Step 5: Solve for x
    x = 458,786.60/941.20
  6. Step 6: Final answer
    x = 487.45

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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.