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Finding the Fourth Proportional to 289.15, 433.08 and 197.44

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Solution

The fourth proportional to 289.15, 433.08 and 197.44 is: 295.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.15 : 433.08 = 197.44 : x
  2. Step 2: Convert to fraction form
    289.15/433.08 = 197.44/x
  3. Step 3: Cross multiply
    289.15x = 433.08 × 197.44
  4. Step 4: Simplify right side
    289.15x = 85,507.32
  5. Step 5: Solve for x
    x = 85,507.32/289.15
  6. Step 6: Final answer
    x = 295.72

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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.