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Finding the Fourth Proportional to 394.49, 590.54 and 270.83

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Solution

The fourth proportional to 394.49, 590.54 and 270.83 is: 405.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.49 : 590.54 = 270.83 : x
  2. Step 2: Convert to fraction form
    394.49/590.54 = 270.83/x
  3. Step 3: Cross multiply
    394.49x = 590.54 × 270.83
  4. Step 4: Simplify right side
    394.49x = 159,933.67
  5. Step 5: Solve for x
    x = 159,933.67/394.49
  6. Step 6: Final answer
    x = 405.42

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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.