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Finding the Fourth Proportional to 393.49, 590.23 and 231.08

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Solution

The fourth proportional to 393.49, 590.23 and 231.08 is: 346.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.49 : 590.23 = 231.08 : x
  2. Step 2: Convert to fraction form
    393.49/590.23 = 231.08/x
  3. Step 3: Cross multiply
    393.49x = 590.23 × 231.08
  4. Step 4: Simplify right side
    393.49x = 136,390.35
  5. Step 5: Solve for x
    x = 136,390.35/393.49
  6. Step 6: Final answer
    x = 346.62

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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.