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Finding the Fourth Proportional to 406.46, 609.68 and 117.89

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Solution

The fourth proportional to 406.46, 609.68 and 117.89 is: 176.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.46 : 609.68 = 117.89 : x
  2. Step 2: Convert to fraction form
    406.46/609.68 = 117.89/x
  3. Step 3: Cross multiply
    406.46x = 609.68 × 117.89
  4. Step 4: Simplify right side
    406.46x = 71,871.54
  5. Step 5: Solve for x
    x = 71,871.54/406.46
  6. Step 6: Final answer
    x = 176.83

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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.