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Finding the Fourth Proportional to 660.30, 991.98 and 414.27

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Solution

The fourth proportional to 660.30, 991.98 and 414.27 is: 622.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.30 : 991.98 = 414.27 : x
  2. Step 2: Convert to fraction form
    660.30/991.98 = 414.27/x
  3. Step 3: Cross multiply
    660.30x = 991.98 × 414.27
  4. Step 4: Simplify right side
    660.30x = 410,947.55
  5. Step 5: Solve for x
    x = 410,947.55/660.30
  6. Step 6: Final answer
    x = 622.36

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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.