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Finding the Fourth Proportional to 406.47, 609.35 and 163.17

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Solution

The fourth proportional to 406.47, 609.35 and 163.17 is: 244.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.47 : 609.35 = 163.17 : x
  2. Step 2: Convert to fraction form
    406.47/609.35 = 163.17/x
  3. Step 3: Cross multiply
    406.47x = 609.35 × 163.17
  4. Step 4: Simplify right side
    406.47x = 99,426.82
  5. Step 5: Solve for x
    x = 99,426.82/406.47
  6. Step 6: Final answer
    x = 244.61

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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.