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Finding the Fourth Proportional to 406.11, 606.57 and 324.71

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Solution

The fourth proportional to 406.11, 606.57 and 324.71 is: 484.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.11 : 606.57 = 324.71 : x
  2. Step 2: Convert to fraction form
    406.11/606.57 = 324.71/x
  3. Step 3: Cross multiply
    406.11x = 606.57 × 324.71
  4. Step 4: Simplify right side
    406.11x = 196,959.34
  5. Step 5: Solve for x
    x = 196,959.34/406.11
  6. Step 6: Final answer
    x = 484.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.