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Finding the Fourth Proportional to 406.29, 609.52 and 146.31

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Solution

The fourth proportional to 406.29, 609.52 and 146.31 is: 219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.29 : 609.52 = 146.31 : x
  2. Step 2: Convert to fraction form
    406.29/609.52 = 146.31/x
  3. Step 3: Cross multiply
    406.29x = 609.52 × 146.31
  4. Step 4: Simplify right side
    406.29x = 89,178.87
  5. Step 5: Solve for x
    x = 89,178.87/406.29
  6. Step 6: Final answer
    x = 219.50

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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.