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Finding the Fourth Proportional to 406.23, 609.35 and 117.68

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Solution

The fourth proportional to 406.23, 609.35 and 117.68 is: 176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.23 : 609.35 = 117.68 : x
  2. Step 2: Convert to fraction form
    406.23/609.35 = 117.68/x
  3. Step 3: Cross multiply
    406.23x = 609.35 × 117.68
  4. Step 4: Simplify right side
    406.23x = 71,704.67
  5. Step 5: Solve for x
    x = 71,704.67/406.23
  6. Step 6: Final answer
    x = 176.51

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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.