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Finding the Fourth Proportional to 589.34, 882.33 and 396.62

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Solution

The fourth proportional to 589.34, 882.33 and 396.62 is: 593.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.34 : 882.33 = 396.62 : x
  2. Step 2: Convert to fraction form
    589.34/882.33 = 396.62/x
  3. Step 3: Cross multiply
    589.34x = 882.33 × 396.62
  4. Step 4: Simplify right side
    589.34x = 349,949.72
  5. Step 5: Solve for x
    x = 349,949.72/589.34
  6. Step 6: Final answer
    x = 593.80

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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.