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Finding the Fourth Proportional to 406.23, 609.47 and 117.67

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Solution

The fourth proportional to 406.23, 609.47 and 117.67 is: 176.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.23 : 609.47 = 117.67 : x
  2. Step 2: Convert to fraction form
    406.23/609.47 = 117.67/x
  3. Step 3: Cross multiply
    406.23x = 609.47 × 117.67
  4. Step 4: Simplify right side
    406.23x = 71,716.33
  5. Step 5: Solve for x
    x = 71,716.33/406.23
  6. Step 6: Final answer
    x = 176.54

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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.