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Finding the Fourth Proportional to 406.35, 609.46 and 146.31

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Solution

The fourth proportional to 406.35, 609.46 and 146.31 is: 219.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.35 : 609.46 = 146.31 : x
  2. Step 2: Convert to fraction form
    406.35/609.46 = 146.31/x
  3. Step 3: Cross multiply
    406.35x = 609.46 × 146.31
  4. Step 4: Simplify right side
    406.35x = 89,169.36
  5. Step 5: Solve for x
    x = 89,169.36/406.35
  6. Step 6: Final answer
    x = 219.44

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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.