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Finding the Fourth Proportional to 314.33, 434.31 and 249.40

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Solution

The fourth proportional to 314.33, 434.31 and 249.40 is: 344.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.33 : 434.31 = 249.40 : x
  2. Step 2: Convert to fraction form
    314.33/434.31 = 249.40/x
  3. Step 3: Cross multiply
    314.33x = 434.31 × 249.40
  4. Step 4: Simplify right side
    314.33x = 108,314.74
  5. Step 5: Solve for x
    x = 108,314.74/314.33
  6. Step 6: Final answer
    x = 344.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.