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Finding the Fourth Proportional to 633.68, 950.88 and 309.44

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Solution

The fourth proportional to 633.68, 950.88 and 309.44 is: 464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.68 : 950.88 = 309.44 : x
  2. Step 2: Convert to fraction form
    633.68/950.88 = 309.44/x
  3. Step 3: Cross multiply
    633.68x = 950.88 × 309.44
  4. Step 4: Simplify right side
    633.68x = 294,240.31
  5. Step 5: Solve for x
    x = 294,240.31/633.68
  6. Step 6: Final answer
    x = 464.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.