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Finding the Fourth Proportional to 633.87, 950.90 and 287.32

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Solution

The fourth proportional to 633.87, 950.90 and 287.32 is: 431.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.87 : 950.90 = 287.32 : x
  2. Step 2: Convert to fraction form
    633.87/950.90 = 287.32/x
  3. Step 3: Cross multiply
    633.87x = 950.90 × 287.32
  4. Step 4: Simplify right side
    633.87x = 273,212.59
  5. Step 5: Solve for x
    x = 273,212.59/633.87
  6. Step 6: Final answer
    x = 431.02

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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.