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Finding the Fourth Proportional to 406.27, 609.05 and 162.64

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Solution

The fourth proportional to 406.27, 609.05 and 162.64 is: 243.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.27 : 609.05 = 162.64 : x
  2. Step 2: Convert to fraction form
    406.27/609.05 = 162.64/x
  3. Step 3: Cross multiply
    406.27x = 609.05 × 162.64
  4. Step 4: Simplify right side
    406.27x = 99,055.89
  5. Step 5: Solve for x
    x = 99,055.89/406.27
  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.