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Finding the Fourth Proportional to 410.97, 617 and 216.12

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Solution

The fourth proportional to 410.97, 617 and 216.12 is: 324.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.97 : 617 = 216.12 : x
  2. Step 2: Convert to fraction form
    410.97/617 = 216.12/x
  3. Step 3: Cross multiply
    410.97x = 617 × 216.12
  4. Step 4: Simplify right side
    410.97x = 133,346.04
  5. Step 5: Solve for x
    x = 133,346.04/410.97
  6. Step 6: Final answer
    x = 324.47

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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.