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Finding the Fourth Proportional to 406.03, 609.13 and 211.13

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Solution

The fourth proportional to 406.03, 609.13 and 211.13 is: 316.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.03 : 609.13 = 211.13 : x
  2. Step 2: Convert to fraction form
    406.03/609.13 = 211.13/x
  3. Step 3: Cross multiply
    406.03x = 609.13 × 211.13
  4. Step 4: Simplify right side
    406.03x = 128,601.52
  5. Step 5: Solve for x
    x = 128,601.52/406.03
  6. Step 6: Final answer
    x = 316.73

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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.