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Finding the Fourth Proportional to 406.41, 609.72 and 146.48

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Solution

The fourth proportional to 406.41, 609.72 and 146.48 is: 219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.41 : 609.72 = 146.48 : x
  2. Step 2: Convert to fraction form
    406.41/609.72 = 146.48/x
  3. Step 3: Cross multiply
    406.41x = 609.72 × 146.48
  4. Step 4: Simplify right side
    406.41x = 89,308.74
  5. Step 5: Solve for x
    x = 89,308.74/406.41
  6. Step 6: Final answer
    x = 219.75

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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.