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Finding the Fourth Proportional to 393.13, 588.79 and 230.95

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Solution

The fourth proportional to 393.13, 588.79 and 230.95 is: 345.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.13 : 588.79 = 230.95 : x
  2. Step 2: Convert to fraction form
    393.13/588.79 = 230.95/x
  3. Step 3: Cross multiply
    393.13x = 588.79 × 230.95
  4. Step 4: Simplify right side
    393.13x = 135,981.05
  5. Step 5: Solve for x
    x = 135,981.05/393.13
  6. Step 6: Final answer
    x = 345.89

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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.