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Finding the Fourth Proportional to 405.73, 609.05 and 162.43

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Solution

The fourth proportional to 405.73, 609.05 and 162.43 is: 243.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.73 : 609.05 = 162.43 : x
  2. Step 2: Convert to fraction form
    405.73/609.05 = 162.43/x
  3. Step 3: Cross multiply
    405.73x = 609.05 × 162.43
  4. Step 4: Simplify right side
    405.73x = 98,926.87
  5. Step 5: Solve for x
    x = 98,926.87/405.73
  6. Step 6: Final answer
    x = 243.82

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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.