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Finding the Fourth Proportional to 431.09, 646.13 and 211.82

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Solution

The fourth proportional to 431.09, 646.13 and 211.82 is: 317.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.09 : 646.13 = 211.82 : x
  2. Step 2: Convert to fraction form
    431.09/646.13 = 211.82/x
  3. Step 3: Cross multiply
    431.09x = 646.13 × 211.82
  4. Step 4: Simplify right side
    431.09x = 136,858.97
  5. Step 5: Solve for x
    x = 136,858.97/431.09
  6. Step 6: Final answer
    x = 317.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.