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Finding the Fourth Proportional to 327.39, 454.13 and 319.29

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Solution

The fourth proportional to 327.39, 454.13 and 319.29 is: 442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.39 : 454.13 = 319.29 : x
  2. Step 2: Convert to fraction form
    327.39/454.13 = 319.29/x
  3. Step 3: Cross multiply
    327.39x = 454.13 × 319.29
  4. Step 4: Simplify right side
    327.39x = 144,997.57
  5. Step 5: Solve for x
    x = 144,997.57/327.39
  6. Step 6: Final answer
    x = 442.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.