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Finding the Fourth Proportional to 559.67, 839.49 and 394.46

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Solution

The fourth proportional to 559.67, 839.49 and 394.46 is: 591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.67 : 839.49 = 394.46 : x
  2. Step 2: Convert to fraction form
    559.67/839.49 = 394.46/x
  3. Step 3: Cross multiply
    559.67x = 839.49 × 394.46
  4. Step 4: Simplify right side
    559.67x = 331,141.03
  5. Step 5: Solve for x
    x = 331,141.03/559.67
  6. Step 6: Final answer
    x = 591.68

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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.