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Finding the Fourth Proportional to 393.17, 588.92 and 319.71

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Solution

The fourth proportional to 393.17, 588.92 and 319.71 is: 478.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.17 : 588.92 = 319.71 : x
  2. Step 2: Convert to fraction form
    393.17/588.92 = 319.71/x
  3. Step 3: Cross multiply
    393.17x = 588.92 × 319.71
  4. Step 4: Simplify right side
    393.17x = 188,279.87
  5. Step 5: Solve for x
    x = 188,279.87/393.17
  6. Step 6: Final answer
    x = 478.88

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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.