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Finding the Fourth Proportional to 633.76, 949.94 and 308.40

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Solution

The fourth proportional to 633.76, 949.94 and 308.40 is: 462.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.76 : 949.94 = 308.40 : x
  2. Step 2: Convert to fraction form
    633.76/949.94 = 308.40/x
  3. Step 3: Cross multiply
    633.76x = 949.94 × 308.40
  4. Step 4: Simplify right side
    633.76x = 292,961.50
  5. Step 5: Solve for x
    x = 292,961.50/633.76
  6. Step 6: Final answer
    x = 462.26

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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.