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Finding the Fourth Proportional to 633.20, 950.16 and 344.96

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Solution

The fourth proportional to 633.20, 950.16 and 344.96 is: 517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.20 : 950.16 = 344.96 : x
  2. Step 2: Convert to fraction form
    633.20/950.16 = 344.96/x
  3. Step 3: Cross multiply
    633.20x = 950.16 × 344.96
  4. Step 4: Simplify right side
    633.20x = 327,767.19
  5. Step 5: Solve for x
    x = 327,767.19/633.20
  6. Step 6: Final answer
    x = 517.64

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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.