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Finding the Fourth Proportional to 406.47, 609.92 and 190.02

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Solution

The fourth proportional to 406.47, 609.92 and 190.02 is: 285.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.47 : 609.92 = 190.02 : x
  2. Step 2: Convert to fraction form
    406.47/609.92 = 190.02/x
  3. Step 3: Cross multiply
    406.47x = 609.92 × 190.02
  4. Step 4: Simplify right side
    406.47x = 115,896.05
  5. Step 5: Solve for x
    x = 115,896.05/406.47
  6. Step 6: Final answer
    x = 285.13

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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.