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Finding the Fourth Proportional to 406.35, 609.32 and 211.15

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Solution

The fourth proportional to 406.35, 609.32 and 211.15 is: 316.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.35 : 609.32 = 211.15 : x
  2. Step 2: Convert to fraction form
    406.35/609.32 = 211.15/x
  3. Step 3: Cross multiply
    406.35x = 609.32 × 211.15
  4. Step 4: Simplify right side
    406.35x = 128,658.45
  5. Step 5: Solve for x
    x = 128,658.45/406.35
  6. Step 6: Final answer
    x = 316.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.