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Finding the Fourth Proportional to 406.55, 609.78 and 146.54

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Solution

The fourth proportional to 406.55, 609.78 and 146.54 is: 219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.55 : 609.78 = 146.54 : x
  2. Step 2: Convert to fraction form
    406.55/609.78 = 146.54/x
  3. Step 3: Cross multiply
    406.55x = 609.78 × 146.54
  4. Step 4: Simplify right side
    406.55x = 89,359.24
  5. Step 5: Solve for x
    x = 89,359.24/406.55
  6. Step 6: Final answer
    x = 219.80

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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.