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Finding the Fourth Proportional to 431.39, 646.74 and 211.92

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Solution

The fourth proportional to 431.39, 646.74 and 211.92 is: 317.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.39 : 646.74 = 211.92 : x
  2. Step 2: Convert to fraction form
    431.39/646.74 = 211.92/x
  3. Step 3: Cross multiply
    431.39x = 646.74 × 211.92
  4. Step 4: Simplify right side
    431.39x = 137,057.14
  5. Step 5: Solve for x
    x = 137,057.14/431.39
  6. Step 6: Final answer
    x = 317.71

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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.