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Finding the Fourth Proportional to 589.49, 813.14 and 379.59

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Solution

The fourth proportional to 589.49, 813.14 and 379.59 is: 523.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.49 : 813.14 = 379.59 : x
  2. Step 2: Convert to fraction form
    589.49/813.14 = 379.59/x
  3. Step 3: Cross multiply
    589.49x = 813.14 × 379.59
  4. Step 4: Simplify right side
    589.49x = 308,657.91
  5. Step 5: Solve for x
    x = 308,657.91/589.49
  6. Step 6: Final answer
    x = 523.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.