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Finding the Fourth Proportional to 633.80, 949.08 and 441.56

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Solution

The fourth proportional to 633.80, 949.08 and 441.56 is: 661.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.80 : 949.08 = 441.56 : x
  2. Step 2: Convert to fraction form
    633.80/949.08 = 441.56/x
  3. Step 3: Cross multiply
    633.80x = 949.08 × 441.56
  4. Step 4: Simplify right side
    633.80x = 419,075.76
  5. Step 5: Solve for x
    x = 419,075.76/633.80
  6. Step 6: Final answer
    x = 661.21

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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.