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Finding the Fourth Proportional to 433.38, 649.57 and 186.51

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Solution

The fourth proportional to 433.38, 649.57 and 186.51 is: 279.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.38 : 649.57 = 186.51 : x
  2. Step 2: Convert to fraction form
    433.38/649.57 = 186.51/x
  3. Step 3: Cross multiply
    433.38x = 649.57 × 186.51
  4. Step 4: Simplify right side
    433.38x = 121,147.12
  5. Step 5: Solve for x
    x = 121,147.12/433.38
  6. Step 6: Final answer
    x = 279.54

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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.