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Finding the Fourth Proportional to 406.62, 609.53 and 146.41

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Solution

The fourth proportional to 406.62, 609.53 and 146.41 is: 219.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.62 : 609.53 = 146.41 : x
  2. Step 2: Convert to fraction form
    406.62/609.53 = 146.41/x
  3. Step 3: Cross multiply
    406.62x = 609.53 × 146.41
  4. Step 4: Simplify right side
    406.62x = 89,239.03
  5. Step 5: Solve for x
    x = 89,239.03/406.62
  6. Step 6: Final answer
    x = 219.47

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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.