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Finding the Fourth Proportional to 406.29, 609.32 and 113.77

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Solution

The fourth proportional to 406.29, 609.32 and 113.77 is: 170.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.29 : 609.32 = 113.77 : x
  2. Step 2: Convert to fraction form
    406.29/609.32 = 113.77/x
  3. Step 3: Cross multiply
    406.29x = 609.32 × 113.77
  4. Step 4: Simplify right side
    406.29x = 69,322.29
  5. Step 5: Solve for x
    x = 69,322.29/406.29
  6. Step 6: Final answer
    x = 170.62

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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.