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Finding the Fourth Proportional to 634.26, 950.73 and 309.45

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Solution

The fourth proportional to 634.26, 950.73 and 309.45 is: 463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.26 : 950.73 = 309.45 : x
  2. Step 2: Convert to fraction form
    634.26/950.73 = 309.45/x
  3. Step 3: Cross multiply
    634.26x = 950.73 × 309.45
  4. Step 4: Simplify right side
    634.26x = 294,203.40
  5. Step 5: Solve for x
    x = 294,203.40/634.26
  6. Step 6: Final answer
    x = 463.85

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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.