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Finding the Fourth Proportional to 405.89, 609.12 and 186.56

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Solution

The fourth proportional to 405.89, 609.12 and 186.56 is: 279.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.89 : 609.12 = 186.56 : x
  2. Step 2: Convert to fraction form
    405.89/609.12 = 186.56/x
  3. Step 3: Cross multiply
    405.89x = 609.12 × 186.56
  4. Step 4: Simplify right side
    405.89x = 113,637.43
  5. Step 5: Solve for x
    x = 113,637.43/405.89
  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.