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Finding the Fourth Proportional to 406.36, 609.56 and 252.74

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Solution

The fourth proportional to 406.36, 609.56 and 252.74 is: 379.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.36 : 609.56 = 252.74 : x
  2. Step 2: Convert to fraction form
    406.36/609.56 = 252.74/x
  3. Step 3: Cross multiply
    406.36x = 609.56 × 252.74
  4. Step 4: Simplify right side
    406.36x = 154,060.19
  5. Step 5: Solve for x
    x = 154,060.19/406.36
  6. Step 6: Final answer
    x = 379.12

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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.