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Finding the Fourth Proportional to 633.52, 949.62 and 308.44

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Solution

The fourth proportional to 633.52, 949.62 and 308.44 is: 462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.52 : 949.62 = 308.44 : x
  2. Step 2: Convert to fraction form
    633.52/949.62 = 308.44/x
  3. Step 3: Cross multiply
    633.52x = 949.62 × 308.44
  4. Step 4: Simplify right side
    633.52x = 292,900.79
  5. Step 5: Solve for x
    x = 292,900.79/633.52
  6. Step 6: Final answer
    x = 462.34

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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.