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Finding the Fourth Proportional to 319.60, 441.06 and 249.74

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Solution

The fourth proportional to 319.60, 441.06 and 249.74 is: 344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.60 : 441.06 = 249.74 : x
  2. Step 2: Convert to fraction form
    319.60/441.06 = 249.74/x
  3. Step 3: Cross multiply
    319.60x = 441.06 × 249.74
  4. Step 4: Simplify right side
    319.60x = 110,148.12
  5. Step 5: Solve for x
    x = 110,148.12/319.60
  6. Step 6: Final answer
    x = 344.65

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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.