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Finding the Fourth Proportional to 633.40, 950.10 and 449.80

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Solution

The fourth proportional to 633.40, 950.10 and 449.80 is: 674.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.40 : 950.10 = 449.80 : x
  2. Step 2: Convert to fraction form
    633.40/950.10 = 449.80/x
  3. Step 3: Cross multiply
    633.40x = 950.10 × 449.80
  4. Step 4: Simplify right side
    633.40x = 427,354.98
  5. Step 5: Solve for x
    x = 427,354.98/633.40
  6. Step 6: Final answer
    x = 674.70

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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.