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Finding the Fourth Proportional to 433.54, 649.92 and 186.76

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Solution

The fourth proportional to 433.54, 649.92 and 186.76 is: 279.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.54 : 649.92 = 186.76 : x
  2. Step 2: Convert to fraction form
    433.54/649.92 = 186.76/x
  3. Step 3: Cross multiply
    433.54x = 649.92 × 186.76
  4. Step 4: Simplify right side
    433.54x = 121,379.06
  5. Step 5: Solve for x
    x = 121,379.06/433.54
  6. Step 6: Final answer
    x = 279.97

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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.