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Finding the Fourth Proportional to 405.91, 609.20 and 162.61

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Solution

The fourth proportional to 405.91, 609.20 and 162.61 is: 244.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.91 : 609.20 = 162.61 : x
  2. Step 2: Convert to fraction form
    405.91/609.20 = 162.61/x
  3. Step 3: Cross multiply
    405.91x = 609.20 × 162.61
  4. Step 4: Simplify right side
    405.91x = 99,062.01
  5. Step 5: Solve for x
    x = 99,062.01/405.91
  6. Step 6: Final answer
    x = 244.05

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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.